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Finding the Fourth Proportional to 61.04, 91.34 and 51.96

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Solution

The fourth proportional to 61.04, 91.34 and 51.96 is: 77.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.04 : 91.34 = 51.96 : x
  2. Step 2: Convert to fraction form
    61.04/91.34 = 51.96/x
  3. Step 3: Cross multiply
    61.04x = 91.34 × 51.96
  4. Step 4: Simplify right side
    61.04x = 4,746.03
  5. Step 5: Solve for x
    x = 4,746.03/61.04
  6. Step 6: Final answer
    x = 77.75

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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.