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Finding the Fourth Proportional to 44.57, 61.53 and 31.64

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Solution

The fourth proportional to 44.57, 61.53 and 31.64 is: 43.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.57 : 61.53 = 31.64 : x
  2. Step 2: Convert to fraction form
    44.57/61.53 = 31.64/x
  3. Step 3: Cross multiply
    44.57x = 61.53 × 31.64
  4. Step 4: Simplify right side
    44.57x = 1,946.81
  5. Step 5: Solve for x
    x = 1,946.81/44.57
  6. Step 6: Final answer
    x = 43.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.