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Finding the Fourth Proportional to 140.90, 212.18 and 123.08

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Solution

The fourth proportional to 140.90, 212.18 and 123.08 is: 185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.90 : 212.18 = 123.08 : x
  2. Step 2: Convert to fraction form
    140.90/212.18 = 123.08/x
  3. Step 3: Cross multiply
    140.90x = 212.18 × 123.08
  4. Step 4: Simplify right side
    140.90x = 26,115.11
  5. Step 5: Solve for x
    x = 26,115.11/140.90
  6. Step 6: Final answer
    x = 185.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.