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Finding the Fourth Proportional to 43.76, 65.88 and 35.71

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Solution

The fourth proportional to 43.76, 65.88 and 35.71 is: 53.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.76 : 65.88 = 35.71 : x
  2. Step 2: Convert to fraction form
    43.76/65.88 = 35.71/x
  3. Step 3: Cross multiply
    43.76x = 65.88 × 35.71
  4. Step 4: Simplify right side
    43.76x = 2,352.41
  5. Step 5: Solve for x
    x = 2,352.41/43.76
  6. Step 6: Final answer
    x = 53.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.