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Finding the Fourth Proportional to 42.59, 63.85 and 19.77

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Solution

The fourth proportional to 42.59, 63.85 and 19.77 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.59 : 63.85 = 19.77 : x
  2. Step 2: Convert to fraction form
    42.59/63.85 = 19.77/x
  3. Step 3: Cross multiply
    42.59x = 63.85 × 19.77
  4. Step 4: Simplify right side
    42.59x = 1,262.31
  5. Step 5: Solve for x
    x = 1,262.31/42.59
  6. Step 6: Final answer
    x = 29.64

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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.