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Finding the Fourth Proportional to 52.70, 78.98 and 32.42

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Solution

The fourth proportional to 52.70, 78.98 and 32.42 is: 48.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.70 : 78.98 = 32.42 : x
  2. Step 2: Convert to fraction form
    52.70/78.98 = 32.42/x
  3. Step 3: Cross multiply
    52.70x = 78.98 × 32.42
  4. Step 4: Simplify right side
    52.70x = 2,560.81
  5. Step 5: Solve for x
    x = 2,560.81/52.70
  6. Step 6: Final answer
    x = 48.59

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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.