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Finding the Fourth Proportional to 96.55, 144 and 93.66

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Solution

The fourth proportional to 96.55, 144 and 93.66 is: 139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.55 : 144 = 93.66 : x
  2. Step 2: Convert to fraction form
    96.55/144 = 93.66/x
  3. Step 3: Cross multiply
    96.55x = 144 × 93.66
  4. Step 4: Simplify right side
    96.55x = 13,487.04
  5. Step 5: Solve for x
    x = 13,487.04/96.55
  6. Step 6: Final answer
    x = 139.69

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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.