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Finding the Fourth Proportional to 48.35, 66.69 and 32.00

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Solution

The fourth proportional to 48.35, 66.69 and 32.00 is: 44.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.35 : 66.69 = 32.00 : x
  2. Step 2: Convert to fraction form
    48.35/66.69 = 32.00/x
  3. Step 3: Cross multiply
    48.35x = 66.69 × 32.00
  4. Step 4: Simplify right side
    48.35x = 2,134.12
  5. Step 5: Solve for x
    x = 2,134.12/48.35
  6. Step 6: Final answer
    x = 44.14

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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.