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Finding the Fourth Proportional to 42.98, 64.10 and 36.94

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Solution

The fourth proportional to 42.98, 64.10 and 36.94 is: 55.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.98 : 64.10 = 36.94 : x
  2. Step 2: Convert to fraction form
    42.98/64.10 = 36.94/x
  3. Step 3: Cross multiply
    42.98x = 64.10 × 36.94
  4. Step 4: Simplify right side
    42.98x = 2,367.85
  5. Step 5: Solve for x
    x = 2,367.85/42.98
  6. Step 6: Final answer
    x = 55.09

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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.