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Finding the Fourth Proportional to 52.54, 78.86 and 31.21

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Solution

The fourth proportional to 52.54, 78.86 and 31.21 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.54 : 78.86 = 31.21 : x
  2. Step 2: Convert to fraction form
    52.54/78.86 = 31.21/x
  3. Step 3: Cross multiply
    52.54x = 78.86 × 31.21
  4. Step 4: Simplify right side
    52.54x = 2,461.22
  5. Step 5: Solve for x
    x = 2,461.22/52.54
  6. Step 6: Final answer
    x = 46.84

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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.