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Finding the Fourth Proportional to 138.51, 191.03 and 117.77

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Solution

The fourth proportional to 138.51, 191.03 and 117.77 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.51 : 191.03 = 117.77 : x
  2. Step 2: Convert to fraction form
    138.51/191.03 = 117.77/x
  3. Step 3: Cross multiply
    138.51x = 191.03 × 117.77
  4. Step 4: Simplify right side
    138.51x = 22,496.06
  5. Step 5: Solve for x
    x = 22,496.06/138.51
  6. Step 6: Final answer
    x = 162.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.