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Finding the Fourth Proportional to 72.81, 100.55 and 52.13

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Solution

The fourth proportional to 72.81, 100.55 and 52.13 is: 72.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.81 : 100.55 = 52.13 : x
  2. Step 2: Convert to fraction form
    72.81/100.55 = 52.13/x
  3. Step 3: Cross multiply
    72.81x = 100.55 × 52.13
  4. Step 4: Simplify right side
    72.81x = 5,242.05
  5. Step 5: Solve for x
    x = 5,242.05/72.81
  6. Step 6: Final answer
    x = 72.00

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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.