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Finding the Fourth Proportional to 106.20, 159 and 58.02

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Solution

The fourth proportional to 106.20, 159 and 58.02 is: 86.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.20 : 159 = 58.02 : x
  2. Step 2: Convert to fraction form
    106.20/159 = 58.02/x
  3. Step 3: Cross multiply
    106.20x = 159 × 58.02
  4. Step 4: Simplify right side
    106.20x = 9,225.18
  5. Step 5: Solve for x
    x = 9,225.18/106.20
  6. Step 6: Final answer
    x = 86.87

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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.