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Finding the Fourth Proportional to 10.97, 16.45 and 9.70

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Solution

The fourth proportional to 10.97, 16.45 and 9.70 is: 14.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 16.45 = 9.70 : x
  2. Step 2: Convert to fraction form
    10.97/16.45 = 9.70/x
  3. Step 3: Cross multiply
    10.97x = 16.45 × 9.70
  4. Step 4: Simplify right side
    10.97x = 159.57
  5. Step 5: Solve for x
    x = 159.57/10.97
  6. Step 6: Final answer
    x = 14.55

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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.