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Finding the Fourth Proportional to 61.42, 91.95 and 41.10

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Solution

The fourth proportional to 61.42, 91.95 and 41.10 is: 61.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.42 : 91.95 = 41.10 : x
  2. Step 2: Convert to fraction form
    61.42/91.95 = 41.10/x
  3. Step 3: Cross multiply
    61.42x = 91.95 × 41.10
  4. Step 4: Simplify right side
    61.42x = 3,779.15
  5. Step 5: Solve for x
    x = 3,779.15/61.42
  6. Step 6: Final answer
    x = 61.53

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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.