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Finding the Fourth Proportional to 78.04, 116.97 and 53.92

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Solution

The fourth proportional to 78.04, 116.97 and 53.92 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.04 : 116.97 = 53.92 : x
  2. Step 2: Convert to fraction form
    78.04/116.97 = 53.92/x
  3. Step 3: Cross multiply
    78.04x = 116.97 × 53.92
  4. Step 4: Simplify right side
    78.04x = 6,307.02
  5. Step 5: Solve for x
    x = 6,307.02/78.04
  6. Step 6: Final answer
    x = 80.82

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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.