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Finding the Fourth Proportional to 117.77, 162.33 and 97.01

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Solution

The fourth proportional to 117.77, 162.33 and 97.01 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.77 : 162.33 = 97.01 : x
  2. Step 2: Convert to fraction form
    117.77/162.33 = 97.01/x
  3. Step 3: Cross multiply
    117.77x = 162.33 × 97.01
  4. Step 4: Simplify right side
    117.77x = 15,746.82
  5. Step 5: Solve for x
    x = 15,746.82/117.77
  6. Step 6: Final answer
    x = 133.71

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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.