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Finding the Fourth Proportional to 48.07, 66.34 and 26.24

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Solution

The fourth proportional to 48.07, 66.34 and 26.24 is: 36.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.07 : 66.34 = 26.24 : x
  2. Step 2: Convert to fraction form
    48.07/66.34 = 26.24/x
  3. Step 3: Cross multiply
    48.07x = 66.34 × 26.24
  4. Step 4: Simplify right side
    48.07x = 1,740.61
  5. Step 5: Solve for x
    x = 1,740.61/48.07
  6. Step 6: Final answer
    x = 36.21

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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.