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Finding the Fourth Proportional to 89.70, 134.13 and 71.46

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Solution

The fourth proportional to 89.70, 134.13 and 71.46 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.70 : 134.13 = 71.46 : x
  2. Step 2: Convert to fraction form
    89.70/134.13 = 71.46/x
  3. Step 3: Cross multiply
    89.70x = 134.13 × 71.46
  4. Step 4: Simplify right side
    89.70x = 9,584.93
  5. Step 5: Solve for x
    x = 9,584.93/89.70
  6. Step 6: Final answer
    x = 106.86

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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.