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Finding the Fourth Proportional to 48.23, 66.53 and 29.82

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Solution

The fourth proportional to 48.23, 66.53 and 29.82 is: 41.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.23 : 66.53 = 29.82 : x
  2. Step 2: Convert to fraction form
    48.23/66.53 = 29.82/x
  3. Step 3: Cross multiply
    48.23x = 66.53 × 29.82
  4. Step 4: Simplify right side
    48.23x = 1,983.78
  5. Step 5: Solve for x
    x = 1,983.78/48.23
  6. Step 6: Final answer
    x = 41.14

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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.