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Finding the Fourth Proportional to 138.01, 190.66 and 117.52

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Solution

The fourth proportional to 138.01, 190.66 and 117.52 is: 162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.01 : 190.66 = 117.52 : x
  2. Step 2: Convert to fraction form
    138.01/190.66 = 117.52/x
  3. Step 3: Cross multiply
    138.01x = 190.66 × 117.52
  4. Step 4: Simplify right side
    138.01x = 22,406.36
  5. Step 5: Solve for x
    x = 22,406.36/138.01
  6. Step 6: Final answer
    x = 162.35

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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.