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Finding the Fourth Proportional to 52.64, 78.96 and 31.26

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Solution

The fourth proportional to 52.64, 78.96 and 31.26 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.64 : 78.96 = 31.26 : x
  2. Step 2: Convert to fraction form
    52.64/78.96 = 31.26/x
  3. Step 3: Cross multiply
    52.64x = 78.96 × 31.26
  4. Step 4: Simplify right side
    52.64x = 2,468.29
  5. Step 5: Solve for x
    x = 2,468.29/52.64
  6. Step 6: Final answer
    x = 46.89

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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.