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Finding the Fourth Proportional to 91.64, 137.55 and 51.09

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Solution

The fourth proportional to 91.64, 137.55 and 51.09 is: 76.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.64 : 137.55 = 51.09 : x
  2. Step 2: Convert to fraction form
    91.64/137.55 = 51.09/x
  3. Step 3: Cross multiply
    91.64x = 137.55 × 51.09
  4. Step 4: Simplify right side
    91.64x = 7,027.43
  5. Step 5: Solve for x
    x = 7,027.43/91.64
  6. Step 6: Final answer
    x = 76.69

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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.