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Finding the Fourth Proportional to 51.65, 71.26 and 37.07

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Solution

The fourth proportional to 51.65, 71.26 and 37.07 is: 51.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.65 : 71.26 = 37.07 : x
  2. Step 2: Convert to fraction form
    51.65/71.26 = 37.07/x
  3. Step 3: Cross multiply
    51.65x = 71.26 × 37.07
  4. Step 4: Simplify right side
    51.65x = 2,641.07
  5. Step 5: Solve for x
    x = 2,641.07/51.65
  6. Step 6: Final answer
    x = 51.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.