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Finding the Fourth Proportional to 15.76, 21.74 and 9.53

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Solution

The fourth proportional to 15.76, 21.74 and 9.53 is: 13.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.76 : 21.74 = 9.53 : x
  2. Step 2: Convert to fraction form
    15.76/21.74 = 9.53/x
  3. Step 3: Cross multiply
    15.76x = 21.74 × 9.53
  4. Step 4: Simplify right side
    15.76x = 207.24
  5. Step 5: Solve for x
    x = 207.24/15.76
  6. Step 6: Final answer
    x = 13.15

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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.