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Finding the Fourth Proportional to 52.05, 78.00 and 31.72

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Solution

The fourth proportional to 52.05, 78.00 and 31.72 is: 47.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 78.00 = 31.72 : x
  2. Step 2: Convert to fraction form
    52.05/78.00 = 31.72/x
  3. Step 3: Cross multiply
    52.05x = 78.00 × 31.72
  4. Step 4: Simplify right side
    52.05x = 2,474.20
  5. Step 5: Solve for x
    x = 2,474.20/52.05
  6. Step 6: Final answer
    x = 47.53

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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.