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Finding the Fourth Proportional to 95.65, 131.85 and 64.54

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Solution

The fourth proportional to 95.65, 131.85 and 64.54 is: 88.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.65 : 131.85 = 64.54 : x
  2. Step 2: Convert to fraction form
    95.65/131.85 = 64.54/x
  3. Step 3: Cross multiply
    95.65x = 131.85 × 64.54
  4. Step 4: Simplify right side
    95.65x = 8,509.60
  5. Step 5: Solve for x
    x = 8,509.60/95.65
  6. Step 6: Final answer
    x = 88.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.