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Finding the Fourth Proportional to 72.92, 101.12 and 71.60

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Solution

The fourth proportional to 72.92, 101.12 and 71.60 is: 99.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.92 : 101.12 = 71.60 : x
  2. Step 2: Convert to fraction form
    72.92/101.12 = 71.60/x
  3. Step 3: Cross multiply
    72.92x = 101.12 × 71.60
  4. Step 4: Simplify right side
    72.92x = 7,240.19
  5. Step 5: Solve for x
    x = 7,240.19/72.92
  6. Step 6: Final answer
    x = 99.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.