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Finding the Fourth Proportional to 95.65, 143.24 and 89.57

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Solution

The fourth proportional to 95.65, 143.24 and 89.57 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.65 : 143.24 = 89.57 : x
  2. Step 2: Convert to fraction form
    95.65/143.24 = 89.57/x
  3. Step 3: Cross multiply
    95.65x = 143.24 × 89.57
  4. Step 4: Simplify right side
    95.65x = 12,829.92
  5. Step 5: Solve for x
    x = 12,829.92/95.65
  6. Step 6: Final answer
    x = 134.14

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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.