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Finding the Fourth Proportional to 61.15, 91.68 and 52.69

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Solution

The fourth proportional to 61.15, 91.68 and 52.69 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.15 : 91.68 = 52.69 : x
  2. Step 2: Convert to fraction form
    61.15/91.68 = 52.69/x
  3. Step 3: Cross multiply
    61.15x = 91.68 × 52.69
  4. Step 4: Simplify right side
    61.15x = 4,830.19
  5. Step 5: Solve for x
    x = 4,830.19/61.15
  6. Step 6: Final answer
    x = 78.99

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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.