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Finding the Fourth Proportional to 75.48, 112.91 and 64.05

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Solution

The fourth proportional to 75.48, 112.91 and 64.05 is: 95.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.48 : 112.91 = 64.05 : x
  2. Step 2: Convert to fraction form
    75.48/112.91 = 64.05/x
  3. Step 3: Cross multiply
    75.48x = 112.91 × 64.05
  4. Step 4: Simplify right side
    75.48x = 7,231.57
  5. Step 5: Solve for x
    x = 7,231.57/75.48
  6. Step 6: Final answer
    x = 95.81

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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.