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Finding the Fourth Proportional to 95.66, 142.78 and 88.69

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Solution

The fourth proportional to 95.66, 142.78 and 88.69 is: 132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.66 : 142.78 = 88.69 : x
  2. Step 2: Convert to fraction form
    95.66/142.78 = 88.69/x
  3. Step 3: Cross multiply
    95.66x = 142.78 × 88.69
  4. Step 4: Simplify right side
    95.66x = 12,662.00
  5. Step 5: Solve for x
    x = 12,662.00/95.66
  6. Step 6: Final answer
    x = 132.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.