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Finding the Fourth Proportional to 75.90, 112.94 and 75.64

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Solution

The fourth proportional to 75.90, 112.94 and 75.64 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 112.94 = 75.64 : x
  2. Step 2: Convert to fraction form
    75.90/112.94 = 75.64/x
  3. Step 3: Cross multiply
    75.90x = 112.94 × 75.64
  4. Step 4: Simplify right side
    75.90x = 8,542.78
  5. Step 5: Solve for x
    x = 8,542.78/75.90
  6. Step 6: Final answer
    x = 112.55

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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.