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Finding the Fourth Proportional to 10.54, 14.51 and 9.23

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Solution

The fourth proportional to 10.54, 14.51 and 9.23 is: 12.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.54 : 14.51 = 9.23 : x
  2. Step 2: Convert to fraction form
    10.54/14.51 = 9.23/x
  3. Step 3: Cross multiply
    10.54x = 14.51 × 9.23
  4. Step 4: Simplify right side
    10.54x = 133.88
  5. Step 5: Solve for x
    x = 133.88/10.54
  6. Step 6: Final answer
    x = 12.70

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