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Finding the Fourth Proportional to 51.06, 76.44 and 37.53

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Solution

The fourth proportional to 51.06, 76.44 and 37.53 is: 56.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 76.44 = 37.53 : x
  2. Step 2: Convert to fraction form
    51.06/76.44 = 37.53/x
  3. Step 3: Cross multiply
    51.06x = 76.44 × 37.53
  4. Step 4: Simplify right side
    51.06x = 2,868.79
  5. Step 5: Solve for x
    x = 2,868.79/51.06
  6. Step 6: Final answer
    x = 56.18

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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.