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Finding the Fourth Proportional to 52.46, 78.96 and 37.34

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Solution

The fourth proportional to 52.46, 78.96 and 37.34 is: 56.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.46 : 78.96 = 37.34 : x
  2. Step 2: Convert to fraction form
    52.46/78.96 = 37.34/x
  3. Step 3: Cross multiply
    52.46x = 78.96 × 37.34
  4. Step 4: Simplify right side
    52.46x = 2,948.58
  5. Step 5: Solve for x
    x = 2,948.58/52.46
  6. Step 6: Final answer
    x = 56.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.