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Finding the Fourth Proportional to 58.78, 81.11 and 35.46

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Solution

The fourth proportional to 58.78, 81.11 and 35.46 is: 48.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 81.11 = 35.46 : x
  2. Step 2: Convert to fraction form
    58.78/81.11 = 35.46/x
  3. Step 3: Cross multiply
    58.78x = 81.11 × 35.46
  4. Step 4: Simplify right side
    58.78x = 2,876.16
  5. Step 5: Solve for x
    x = 2,876.16/58.78
  6. Step 6: Final answer
    x = 48.93

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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.