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Finding the Fourth Proportional to 75.76, 113.30 and 55.45

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Solution

The fourth proportional to 75.76, 113.30 and 55.45 is: 82.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 113.30 = 55.45 : x
  2. Step 2: Convert to fraction form
    75.76/113.30 = 55.45/x
  3. Step 3: Cross multiply
    75.76x = 113.30 × 55.45
  4. Step 4: Simplify right side
    75.76x = 6,281.64
  5. Step 5: Solve for x
    x = 6,281.64/75.76
  6. Step 6: Final answer
    x = 82.92

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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.