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Finding the Fourth Proportional to 42.86, 64.58 and 35.42

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Solution

The fourth proportional to 42.86, 64.58 and 35.42 is: 53.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.86 : 64.58 = 35.42 : x
  2. Step 2: Convert to fraction form
    42.86/64.58 = 35.42/x
  3. Step 3: Cross multiply
    42.86x = 64.58 × 35.42
  4. Step 4: Simplify right side
    42.86x = 2,286.92
  5. Step 5: Solve for x
    x = 2,286.92/42.86
  6. Step 6: Final answer
    x = 53.36

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