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Finding the Fourth Proportional to 43.16, 64.34 and 38.60

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Solution

The fourth proportional to 43.16, 64.34 and 38.60 is: 57.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.16 : 64.34 = 38.60 : x
  2. Step 2: Convert to fraction form
    43.16/64.34 = 38.60/x
  3. Step 3: Cross multiply
    43.16x = 64.34 × 38.60
  4. Step 4: Simplify right side
    43.16x = 2,483.52
  5. Step 5: Solve for x
    x = 2,483.52/43.16
  6. Step 6: Final answer
    x = 57.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.