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Finding the Fourth Proportional to 47.64, 65.66 and 32.06

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Solution

The fourth proportional to 47.64, 65.66 and 32.06 is: 44.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.64 : 65.66 = 32.06 : x
  2. Step 2: Convert to fraction form
    47.64/65.66 = 32.06/x
  3. Step 3: Cross multiply
    47.64x = 65.66 × 32.06
  4. Step 4: Simplify right side
    47.64x = 2,105.24
  5. Step 5: Solve for x
    x = 2,105.24/47.64
  6. Step 6: Final answer
    x = 44.19

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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.