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Finding the Fourth Proportional to 52.08, 78 and 31.79

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Solution

The fourth proportional to 52.08, 78 and 31.79 is: 47.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.08 : 78 = 31.79 : x
  2. Step 2: Convert to fraction form
    52.08/78 = 31.79/x
  3. Step 3: Cross multiply
    52.08x = 78 × 31.79
  4. Step 4: Simplify right side
    52.08x = 2,479.23
  5. Step 5: Solve for x
    x = 2,479.23/52.08
  6. Step 6: Final answer
    x = 47.60

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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.