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Finding the Fourth Proportional to 78.31, 117.33 and 37.13

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Solution

The fourth proportional to 78.31, 117.33 and 37.13 is: 55.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.31 : 117.33 = 37.13 : x
  2. Step 2: Convert to fraction form
    78.31/117.33 = 37.13/x
  3. Step 3: Cross multiply
    78.31x = 117.33 × 37.13
  4. Step 4: Simplify right side
    78.31x = 4,356.60
  5. Step 5: Solve for x
    x = 4,356.60/78.31
  6. Step 6: Final answer
    x = 55.63

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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.