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Finding the Fourth Proportional to 78.31, 117.51 and 49.42

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Solution

The fourth proportional to 78.31, 117.51 and 49.42 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.31 : 117.51 = 49.42 : x
  2. Step 2: Convert to fraction form
    78.31/117.51 = 49.42/x
  3. Step 3: Cross multiply
    78.31x = 117.51 × 49.42
  4. Step 4: Simplify right side
    78.31x = 5,807.34
  5. Step 5: Solve for x
    x = 5,807.34/78.31
  6. Step 6: Final answer
    x = 74.16

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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.