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Finding the Fourth Proportional to 15.32, 23.01 and 7.72

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Solution

The fourth proportional to 15.32, 23.01 and 7.72 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.32 : 23.01 = 7.72 : x
  2. Step 2: Convert to fraction form
    15.32/23.01 = 7.72/x
  3. Step 3: Cross multiply
    15.32x = 23.01 × 7.72
  4. Step 4: Simplify right side
    15.32x = 177.64
  5. Step 5: Solve for x
    x = 177.64/15.32
  6. Step 6: Final answer
    x = 11.60

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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.