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Finding the Fourth Proportional to 106.59, 147.08 and 59.96

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Solution

The fourth proportional to 106.59, 147.08 and 59.96 is: 82.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.59 : 147.08 = 59.96 : x
  2. Step 2: Convert to fraction form
    106.59/147.08 = 59.96/x
  3. Step 3: Cross multiply
    106.59x = 147.08 × 59.96
  4. Step 4: Simplify right side
    106.59x = 8,818.92
  5. Step 5: Solve for x
    x = 8,818.92/106.59
  6. Step 6: Final answer
    x = 82.74

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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.