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Finding the Fourth Proportional to 101.90, 140.62 and 57.65

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Solution

The fourth proportional to 101.90, 140.62 and 57.65 is: 79.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.90 : 140.62 = 57.65 : x
  2. Step 2: Convert to fraction form
    101.90/140.62 = 57.65/x
  3. Step 3: Cross multiply
    101.90x = 140.62 × 57.65
  4. Step 4: Simplify right side
    101.90x = 8,106.74
  5. Step 5: Solve for x
    x = 8,106.74/101.90
  6. Step 6: Final answer
    x = 79.56

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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.