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Finding the Fourth Proportional to 9.48, 14.17 and 7.57

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Solution

The fourth proportional to 9.48, 14.17 and 7.57 is: 11.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.48 : 14.17 = 7.57 : x
  2. Step 2: Convert to fraction form
    9.48/14.17 = 7.57/x
  3. Step 3: Cross multiply
    9.48x = 14.17 × 7.57
  4. Step 4: Simplify right side
    9.48x = 107.27
  5. Step 5: Solve for x
    x = 107.27/9.48
  6. Step 6: Final answer
    x = 11.32

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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.