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Finding the Fourth Proportional to 61.13, 91.46 and 35.46

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Solution

The fourth proportional to 61.13, 91.46 and 35.46 is: 53.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.13 : 91.46 = 35.46 : x
  2. Step 2: Convert to fraction form
    61.13/91.46 = 35.46/x
  3. Step 3: Cross multiply
    61.13x = 91.46 × 35.46
  4. Step 4: Simplify right side
    61.13x = 3,243.26
  5. Step 5: Solve for x
    x = 3,243.26/61.13
  6. Step 6: Final answer
    x = 53.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.