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Finding the Fourth Proportional to 96.87, 143.70 and 95.65

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Solution

The fourth proportional to 96.87, 143.70 and 95.65 is: 141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.87 : 143.70 = 95.65 : x
  2. Step 2: Convert to fraction form
    96.87/143.70 = 95.65/x
  3. Step 3: Cross multiply
    96.87x = 143.70 × 95.65
  4. Step 4: Simplify right side
    96.87x = 13,744.91
  5. Step 5: Solve for x
    x = 13,744.91/96.87
  6. Step 6: Final answer
    x = 141.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.