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Finding the Fourth Proportional to 91.53, 137.31 and 51

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Solution

The fourth proportional to 91.53, 137.31 and 51 is: 76.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 137.31 = 51 : x
  2. Step 2: Convert to fraction form
    91.53/137.31 = 51/x
  3. Step 3: Cross multiply
    91.53x = 137.31 × 51
  4. Step 4: Simplify right side
    91.53x = 7,002.81
  5. Step 5: Solve for x
    x = 7,002.81/91.53
  6. Step 6: Final answer
    x = 76.51

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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.