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Finding the Fourth Proportional to 61.01, 91.42 and 30.59

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Solution

The fourth proportional to 61.01, 91.42 and 30.59 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.01 : 91.42 = 30.59 : x
  2. Step 2: Convert to fraction form
    61.01/91.42 = 30.59/x
  3. Step 3: Cross multiply
    61.01x = 91.42 × 30.59
  4. Step 4: Simplify right side
    61.01x = 2,796.54
  5. Step 5: Solve for x
    x = 2,796.54/61.01
  6. Step 6: Final answer
    x = 45.84

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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.