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Finding the Fourth Proportional to 75.90, 112.96 and 75.10

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Solution

The fourth proportional to 75.90, 112.96 and 75.10 is: 111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 112.96 = 75.10 : x
  2. Step 2: Convert to fraction form
    75.90/112.96 = 75.10/x
  3. Step 3: Cross multiply
    75.90x = 112.96 × 75.10
  4. Step 4: Simplify right side
    75.90x = 8,482.92
  5. Step 5: Solve for x
    x = 8,482.92/75.90
  6. Step 6: Final answer
    x = 111.76

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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.