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Finding the Fourth Proportional to 42.49, 58.69 and 34.35

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Solution

The fourth proportional to 42.49, 58.69 and 34.35 is: 47.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.49 : 58.69 = 34.35 : x
  2. Step 2: Convert to fraction form
    42.49/58.69 = 34.35/x
  3. Step 3: Cross multiply
    42.49x = 58.69 × 34.35
  4. Step 4: Simplify right side
    42.49x = 2,016.00
  5. Step 5: Solve for x
    x = 2,016.00/42.49
  6. Step 6: Final answer
    x = 47.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.