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Finding the Fourth Proportional to 52.40, 78.56 and 31.04

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Solution

The fourth proportional to 52.40, 78.56 and 31.04 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.56 = 31.04 : x
  2. Step 2: Convert to fraction form
    52.40/78.56 = 31.04/x
  3. Step 3: Cross multiply
    52.40x = 78.56 × 31.04
  4. Step 4: Simplify right side
    52.40x = 2,438.50
  5. Step 5: Solve for x
    x = 2,438.50/52.40
  6. Step 6: Final answer
    x = 46.54

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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.