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Finding the Fourth Proportional to 106.20, 159.46 and 59.88

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Solution

The fourth proportional to 106.20, 159.46 and 59.88 is: 89.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.20 : 159.46 = 59.88 : x
  2. Step 2: Convert to fraction form
    106.20/159.46 = 59.88/x
  3. Step 3: Cross multiply
    106.20x = 159.46 × 59.88
  4. Step 4: Simplify right side
    106.20x = 9,548.46
  5. Step 5: Solve for x
    x = 9,548.46/106.20
  6. Step 6: Final answer
    x = 89.91

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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.