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Finding the Fourth Proportional to 78.06, 117.10 and 55.24

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Solution

The fourth proportional to 78.06, 117.10 and 55.24 is: 82.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 117.10 = 55.24 : x
  2. Step 2: Convert to fraction form
    78.06/117.10 = 55.24/x
  3. Step 3: Cross multiply
    78.06x = 117.10 × 55.24
  4. Step 4: Simplify right side
    78.06x = 6,468.60
  5. Step 5: Solve for x
    x = 6,468.60/78.06
  6. Step 6: Final answer
    x = 82.87

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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.