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Finding the Fourth Proportional to 96.60, 144.32 and 78.40

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Solution

The fourth proportional to 96.60, 144.32 and 78.40 is: 117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.60 : 144.32 = 78.40 : x
  2. Step 2: Convert to fraction form
    96.60/144.32 = 78.40/x
  3. Step 3: Cross multiply
    96.60x = 144.32 × 78.40
  4. Step 4: Simplify right side
    96.60x = 11,314.69
  5. Step 5: Solve for x
    x = 11,314.69/96.60
  6. Step 6: Final answer
    x = 117.13

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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.