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Finding the Fourth Proportional to 78.04, 117 and 29.92

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Solution

The fourth proportional to 78.04, 117 and 29.92 is: 44.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.04 : 117 = 29.92 : x
  2. Step 2: Convert to fraction form
    78.04/117 = 29.92/x
  3. Step 3: Cross multiply
    78.04x = 117 × 29.92
  4. Step 4: Simplify right side
    78.04x = 3,500.64
  5. Step 5: Solve for x
    x = 3,500.64/78.04
  6. Step 6: Final answer
    x = 44.86

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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.