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Finding the Fourth Proportional to 52.26, 78.40 and 31.02

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Solution

The fourth proportional to 52.26, 78.40 and 31.02 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.26 : 78.40 = 31.02 : x
  2. Step 2: Convert to fraction form
    52.26/78.40 = 31.02/x
  3. Step 3: Cross multiply
    52.26x = 78.40 × 31.02
  4. Step 4: Simplify right side
    52.26x = 2,431.97
  5. Step 5: Solve for x
    x = 2,431.97/52.26
  6. Step 6: Final answer
    x = 46.54

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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.