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Finding the Fourth Proportional to 52.09, 78.22 and 31.74

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Solution

The fourth proportional to 52.09, 78.22 and 31.74 is: 47.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 78.22 = 31.74 : x
  2. Step 2: Convert to fraction form
    52.09/78.22 = 31.74/x
  3. Step 3: Cross multiply
    52.09x = 78.22 × 31.74
  4. Step 4: Simplify right side
    52.09x = 2,482.71
  5. Step 5: Solve for x
    x = 2,482.71/52.09
  6. Step 6: Final answer
    x = 47.66

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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.