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Finding the Fourth Proportional to 97.13, 133.73 and 72.53

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Solution

The fourth proportional to 97.13, 133.73 and 72.53 is: 99.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.13 : 133.73 = 72.53 : x
  2. Step 2: Convert to fraction form
    97.13/133.73 = 72.53/x
  3. Step 3: Cross multiply
    97.13x = 133.73 × 72.53
  4. Step 4: Simplify right side
    97.13x = 9,699.07
  5. Step 5: Solve for x
    x = 9,699.07/97.13
  6. Step 6: Final answer
    x = 99.86

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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.