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Finding the Fourth Proportional to 106.52, 159.77 and 76.14

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Solution

The fourth proportional to 106.52, 159.77 and 76.14 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.52 : 159.77 = 76.14 : x
  2. Step 2: Convert to fraction form
    106.52/159.77 = 76.14/x
  3. Step 3: Cross multiply
    106.52x = 159.77 × 76.14
  4. Step 4: Simplify right side
    106.52x = 12,165.08
  5. Step 5: Solve for x
    x = 12,165.08/106.52
  6. Step 6: Final answer
    x = 114.21

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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.