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Finding the Fourth Proportional to 42.94, 64.11 and 38.58

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Solution

The fourth proportional to 42.94, 64.11 and 38.58 is: 57.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.94 : 64.11 = 38.58 : x
  2. Step 2: Convert to fraction form
    42.94/64.11 = 38.58/x
  3. Step 3: Cross multiply
    42.94x = 64.11 × 38.58
  4. Step 4: Simplify right side
    42.94x = 2,473.36
  5. Step 5: Solve for x
    x = 2,473.36/42.94
  6. Step 6: Final answer
    x = 57.60

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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.