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Finding the Fourth Proportional to 10.06, 15.02 and 9.45

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Solution

The fourth proportional to 10.06, 15.02 and 9.45 is: 14.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.06 : 15.02 = 9.45 : x
  2. Step 2: Convert to fraction form
    10.06/15.02 = 9.45/x
  3. Step 3: Cross multiply
    10.06x = 15.02 × 9.45
  4. Step 4: Simplify right side
    10.06x = 141.94
  5. Step 5: Solve for x
    x = 141.94/10.06
  6. Step 6: Final answer
    x = 14.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.