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Finding the Fourth Proportional to 73.24, 100.48 and 66.16

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Solution

The fourth proportional to 73.24, 100.48 and 66.16 is: 90.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.24 : 100.48 = 66.16 : x
  2. Step 2: Convert to fraction form
    73.24/100.48 = 66.16/x
  3. Step 3: Cross multiply
    73.24x = 100.48 × 66.16
  4. Step 4: Simplify right side
    73.24x = 6,647.76
  5. Step 5: Solve for x
    x = 6,647.76/73.24
  6. Step 6: Final answer
    x = 90.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.