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Finding the Fourth Proportional to 76.95, 106.20 and 60.57

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Solution

The fourth proportional to 76.95, 106.20 and 60.57 is: 83.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.95 : 106.20 = 60.57 : x
  2. Step 2: Convert to fraction form
    76.95/106.20 = 60.57/x
  3. Step 3: Cross multiply
    76.95x = 106.20 × 60.57
  4. Step 4: Simplify right side
    76.95x = 6,432.53
  5. Step 5: Solve for x
    x = 6,432.53/76.95
  6. Step 6: Final answer
    x = 83.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.