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Finding the Fourth Proportional to 95.50, 143.14 and 64.66

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Solution

The fourth proportional to 95.50, 143.14 and 64.66 is: 96.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.50 : 143.14 = 64.66 : x
  2. Step 2: Convert to fraction form
    95.50/143.14 = 64.66/x
  3. Step 3: Cross multiply
    95.50x = 143.14 × 64.66
  4. Step 4: Simplify right side
    95.50x = 9,255.43
  5. Step 5: Solve for x
    x = 9,255.43/95.50
  6. Step 6: Final answer
    x = 96.92

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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.