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Finding the Fourth Proportional to 15.32, 21.14 and 11.70

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Solution

The fourth proportional to 15.32, 21.14 and 11.70 is: 16.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.32 : 21.14 = 11.70 : x
  2. Step 2: Convert to fraction form
    15.32/21.14 = 11.70/x
  3. Step 3: Cross multiply
    15.32x = 21.14 × 11.70
  4. Step 4: Simplify right side
    15.32x = 247.34
  5. Step 5: Solve for x
    x = 247.34/15.32
  6. Step 6: Final answer
    x = 16.14

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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.