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Finding the Fourth Proportional to 106.76, 159.50 and 106.16

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Solution

The fourth proportional to 106.76, 159.50 and 106.16 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.76 : 159.50 = 106.16 : x
  2. Step 2: Convert to fraction form
    106.76/159.50 = 106.16/x
  3. Step 3: Cross multiply
    106.76x = 159.50 × 106.16
  4. Step 4: Simplify right side
    106.76x = 16,932.52
  5. Step 5: Solve for x
    x = 16,932.52/106.76
  6. Step 6: Final answer
    x = 158.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.