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Finding the Fourth Proportional to 5.61, 7.72 and 5.00

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Solution

The fourth proportional to 5.61, 7.72 and 5.00 is: 6.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.61 : 7.72 = 5.00 : x
  2. Step 2: Convert to fraction form
    5.61/7.72 = 5.00/x
  3. Step 3: Cross multiply
    5.61x = 7.72 × 5.00
  4. Step 4: Simplify right side
    5.61x = 38.61
  5. Step 5: Solve for x
    x = 38.61/5.61
  6. Step 6: Final answer
    x = 6.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.