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Finding the Fourth Proportional to 52.40, 78.44 and 39.53

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Solution

The fourth proportional to 52.40, 78.44 and 39.53 is: 59.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.44 = 39.53 : x
  2. Step 2: Convert to fraction form
    52.40/78.44 = 39.53/x
  3. Step 3: Cross multiply
    52.40x = 78.44 × 39.53
  4. Step 4: Simplify right side
    52.40x = 3,100.44
  5. Step 5: Solve for x
    x = 3,100.44/52.40
  6. Step 6: Final answer
    x = 59.17

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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.