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Finding the Fourth Proportional to 37.19, 51.35 and 22.65

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Solution

The fourth proportional to 37.19, 51.35 and 22.65 is: 31.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.19 : 51.35 = 22.65 : x
  2. Step 2: Convert to fraction form
    37.19/51.35 = 22.65/x
  3. Step 3: Cross multiply
    37.19x = 51.35 × 22.65
  4. Step 4: Simplify right side
    37.19x = 1,162.77
  5. Step 5: Solve for x
    x = 1,162.77/37.19
  6. Step 6: Final answer
    x = 31.26

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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.