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Finding the Fourth Proportional to 48.29, 66.63 and 31.70

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Solution

The fourth proportional to 48.29, 66.63 and 31.70 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.29 : 66.63 = 31.70 : x
  2. Step 2: Convert to fraction form
    48.29/66.63 = 31.70/x
  3. Step 3: Cross multiply
    48.29x = 66.63 × 31.70
  4. Step 4: Simplify right side
    48.29x = 2,111.84
  5. Step 5: Solve for x
    x = 2,111.84/48.29
  6. Step 6: Final answer
    x = 43.74

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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.