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Finding the Fourth Proportional to 10.60, 14.62 and 10.20

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Solution

The fourth proportional to 10.60, 14.62 and 10.20 is: 14.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.60 : 14.62 = 10.20 : x
  2. Step 2: Convert to fraction form
    10.60/14.62 = 10.20/x
  3. Step 3: Cross multiply
    10.60x = 14.62 × 10.20
  4. Step 4: Simplify right side
    10.60x = 149.05
  5. Step 5: Solve for x
    x = 149.05/10.60
  6. Step 6: Final answer
    x = 14.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.