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Finding the Fourth Proportional to 44.42, 66.72 and 31.64

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Solution

The fourth proportional to 44.42, 66.72 and 31.64 is: 47.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.42 : 66.72 = 31.64 : x
  2. Step 2: Convert to fraction form
    44.42/66.72 = 31.64/x
  3. Step 3: Cross multiply
    44.42x = 66.72 × 31.64
  4. Step 4: Simplify right side
    44.42x = 2,111.02
  5. Step 5: Solve for x
    x = 2,111.02/44.42
  6. Step 6: Final answer
    x = 47.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.