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Finding the Fourth Proportional to 96.74, 144.80 and 78.51

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Solution

The fourth proportional to 96.74, 144.80 and 78.51 is: 117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 144.80 = 78.51 : x
  2. Step 2: Convert to fraction form
    96.74/144.80 = 78.51/x
  3. Step 3: Cross multiply
    96.74x = 144.80 × 78.51
  4. Step 4: Simplify right side
    96.74x = 11,367.86
  5. Step 5: Solve for x
    x = 11,367.86/96.74
  6. Step 6: Final answer
    x = 117.52

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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.