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Finding the Fourth Proportional to 43.02, 64.60 and 38.00

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Solution

The fourth proportional to 43.02, 64.60 and 38.00 is: 57.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.02 : 64.60 = 38.00 : x
  2. Step 2: Convert to fraction form
    43.02/64.60 = 38.00/x
  3. Step 3: Cross multiply
    43.02x = 64.60 × 38.00
  4. Step 4: Simplify right side
    43.02x = 2,454.87
  5. Step 5: Solve for x
    x = 2,454.87/43.02
  6. Step 6: Final answer
    x = 57.06

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