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Finding the Fourth Proportional to 15, 22.61 and 11.66

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Solution

The fourth proportional to 15, 22.61 and 11.66 is: 17.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15 : 22.61 = 11.66 : x
  2. Step 2: Convert to fraction form
    15/22.61 = 11.66/x
  3. Step 3: Cross multiply
    15x = 22.61 × 11.66
  4. Step 4: Simplify right side
    15x = 263.46
  5. Step 5: Solve for x
    x = 263.46/15
  6. Step 6: Final answer
    x = 17.56

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1.5x scale

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.