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Finding the Fourth Proportional to 96.14, 144.53 and 78.23

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Solution

The fourth proportional to 96.14, 144.53 and 78.23 is: 117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 144.53 = 78.23 : x
  2. Step 2: Convert to fraction form
    96.14/144.53 = 78.23/x
  3. Step 3: Cross multiply
    96.14x = 144.53 × 78.23
  4. Step 4: Simplify right side
    96.14x = 11,305.47
  5. Step 5: Solve for x
    x = 11,305.47/96.14
  6. Step 6: Final answer
    x = 117.60

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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.