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Finding the Fourth Proportional to 75.47, 112.26 and 75.29

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Solution

The fourth proportional to 75.47, 112.26 and 75.29 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 112.26 = 75.29 : x
  2. Step 2: Convert to fraction form
    75.47/112.26 = 75.29/x
  3. Step 3: Cross multiply
    75.47x = 112.26 × 75.29
  4. Step 4: Simplify right side
    75.47x = 8,451.49
  5. Step 5: Solve for x
    x = 8,451.49/75.47
  6. Step 6: Final answer
    x = 111.99

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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.