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Finding the Fourth Proportional to 8.40, 12.61 and 5.02

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Solution

The fourth proportional to 8.40, 12.61 and 5.02 is: 7.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.40 : 12.61 = 5.02 : x
  2. Step 2: Convert to fraction form
    8.40/12.61 = 5.02/x
  3. Step 3: Cross multiply
    8.40x = 12.61 × 5.02
  4. Step 4: Simplify right side
    8.40x = 63.32
  5. Step 5: Solve for x
    x = 63.32/8.40
  6. Step 6: Final answer
    x = 7.54

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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.