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Finding the Fourth Proportional to 52.16, 78.26 and 31.84

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Solution

The fourth proportional to 52.16, 78.26 and 31.84 is: 47.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 78.26 = 31.84 : x
  2. Step 2: Convert to fraction form
    52.16/78.26 = 31.84/x
  3. Step 3: Cross multiply
    52.16x = 78.26 × 31.84
  4. Step 4: Simplify right side
    52.16x = 2,491.80
  5. Step 5: Solve for x
    x = 2,491.80/52.16
  6. Step 6: Final answer
    x = 47.77

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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.