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Finding the Fourth Proportional to 73.16, 109.73 and 42.71

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Solution

The fourth proportional to 73.16, 109.73 and 42.71 is: 64.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.16 : 109.73 = 42.71 : x
  2. Step 2: Convert to fraction form
    73.16/109.73 = 42.71/x
  3. Step 3: Cross multiply
    73.16x = 109.73 × 42.71
  4. Step 4: Simplify right side
    73.16x = 4,685.81
  5. Step 5: Solve for x
    x = 4,685.81/73.16
  6. Step 6: Final answer
    x = 64.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.