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Finding the Fourth Proportional to 10.09, 15.04 and 10.02

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Solution

The fourth proportional to 10.09, 15.04 and 10.02 is: 14.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.09 : 15.04 = 10.02 : x
  2. Step 2: Convert to fraction form
    10.09/15.04 = 10.02/x
  3. Step 3: Cross multiply
    10.09x = 15.04 × 10.02
  4. Step 4: Simplify right side
    10.09x = 150.71
  5. Step 5: Solve for x
    x = 150.71/10.09
  6. Step 6: Final answer
    x = 14.94

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