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Finding the Fourth Proportional to 75.53, 112.67 and 65.18

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Solution

The fourth proportional to 75.53, 112.67 and 65.18 is: 97.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 112.67 = 65.18 : x
  2. Step 2: Convert to fraction form
    75.53/112.67 = 65.18/x
  3. Step 3: Cross multiply
    75.53x = 112.67 × 65.18
  4. Step 4: Simplify right side
    75.53x = 7,342.94
  5. Step 5: Solve for x
    x = 7,342.94/75.53
  6. Step 6: Final answer
    x = 97.23

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Why These Related Problems?

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