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Finding the Fourth Proportional to 10.17, 15.33 and 9.74

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Solution

The fourth proportional to 10.17, 15.33 and 9.74 is: 14.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.17 : 15.33 = 9.74 : x
  2. Step 2: Convert to fraction form
    10.17/15.33 = 9.74/x
  3. Step 3: Cross multiply
    10.17x = 15.33 × 9.74
  4. Step 4: Simplify right side
    10.17x = 149.24
  5. Step 5: Solve for x
    x = 149.24/10.17
  6. Step 6: Final answer
    x = 14.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.