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Finding the Fourth Proportional to 73.72, 109.89 and 64.76

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Solution

The fourth proportional to 73.72, 109.89 and 64.76 is: 96.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.72 : 109.89 = 64.76 : x
  2. Step 2: Convert to fraction form
    73.72/109.89 = 64.76/x
  3. Step 3: Cross multiply
    73.72x = 109.89 × 64.76
  4. Step 4: Simplify right side
    73.72x = 7,116.48
  5. Step 5: Solve for x
    x = 7,116.48/73.72
  6. Step 6: Final answer
    x = 96.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.