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Finding the Fourth Proportional to 52.04, 78.14 and 31.84

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Solution

The fourth proportional to 52.04, 78.14 and 31.84 is: 47.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.04 : 78.14 = 31.84 : x
  2. Step 2: Convert to fraction form
    52.04/78.14 = 31.84/x
  3. Step 3: Cross multiply
    52.04x = 78.14 × 31.84
  4. Step 4: Simplify right side
    52.04x = 2,487.86
  5. Step 5: Solve for x
    x = 2,487.86/52.04
  6. Step 6: Final answer
    x = 47.80

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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.