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Finding the Fourth Proportional to 106.56, 159.51 and 89.46

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Solution

The fourth proportional to 106.56, 159.51 and 89.46 is: 133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 159.51 = 89.46 : x
  2. Step 2: Convert to fraction form
    106.56/159.51 = 89.46/x
  3. Step 3: Cross multiply
    106.56x = 159.51 × 89.46
  4. Step 4: Simplify right side
    106.56x = 14,269.76
  5. Step 5: Solve for x
    x = 14,269.76/106.56
  6. Step 6: Final answer
    x = 133.91

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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.