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Finding the Fourth Proportional to 14.71, 22.05 and 7.10

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Solution

The fourth proportional to 14.71, 22.05 and 7.10 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.71 : 22.05 = 7.10 : x
  2. Step 2: Convert to fraction form
    14.71/22.05 = 7.10/x
  3. Step 3: Cross multiply
    14.71x = 22.05 × 7.10
  4. Step 4: Simplify right side
    14.71x = 156.56
  5. Step 5: Solve for x
    x = 156.56/14.71
  6. Step 6: Final answer
    x = 10.64

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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.