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Finding the Fourth Proportional to 14.71, 22.05 and 9.57

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Solution

The fourth proportional to 14.71, 22.05 and 9.57 is: 14.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.71 : 22.05 = 9.57 : x
  2. Step 2: Convert to fraction form
    14.71/22.05 = 9.57/x
  3. Step 3: Cross multiply
    14.71x = 22.05 × 9.57
  4. Step 4: Simplify right side
    14.71x = 211.02
  5. Step 5: Solve for x
    x = 211.02/14.71
  6. Step 6: Final answer
    x = 14.35

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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.