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Finding the Fourth Proportional to 10.40, 15.57 and 8.16

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Solution

The fourth proportional to 10.40, 15.57 and 8.16 is: 12.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.40 : 15.57 = 8.16 : x
  2. Step 2: Convert to fraction form
    10.40/15.57 = 8.16/x
  3. Step 3: Cross multiply
    10.40x = 15.57 × 8.16
  4. Step 4: Simplify right side
    10.40x = 127.05
  5. Step 5: Solve for x
    x = 127.05/10.40
  6. Step 6: Final answer
    x = 12.22

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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.