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Finding the Fourth Proportional to 78.14, 117.23 and 24.04

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Solution

The fourth proportional to 78.14, 117.23 and 24.04 is: 36.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 117.23 = 24.04 : x
  2. Step 2: Convert to fraction form
    78.14/117.23 = 24.04/x
  3. Step 3: Cross multiply
    78.14x = 117.23 × 24.04
  4. Step 4: Simplify right side
    78.14x = 2,818.21
  5. Step 5: Solve for x
    x = 2,818.21/78.14
  6. Step 6: Final answer
    x = 36.07

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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.