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Finding the Fourth Proportional to 106.47, 159.85 and 89.57

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Solution

The fourth proportional to 106.47, 159.85 and 89.57 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 159.85 = 89.57 : x
  2. Step 2: Convert to fraction form
    106.47/159.85 = 89.57/x
  3. Step 3: Cross multiply
    106.47x = 159.85 × 89.57
  4. Step 4: Simplify right side
    106.47x = 14,317.08
  5. Step 5: Solve for x
    x = 14,317.08/106.47
  6. Step 6: Final answer
    x = 134.47

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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.