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Finding the Fourth Proportional to 149.90, 206.86 and 87.77

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Solution

The fourth proportional to 149.90, 206.86 and 87.77 is: 121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.90 : 206.86 = 87.77 : x
  2. Step 2: Convert to fraction form
    149.90/206.86 = 87.77/x
  3. Step 3: Cross multiply
    149.90x = 206.86 × 87.77
  4. Step 4: Simplify right side
    149.90x = 18,156.84
  5. Step 5: Solve for x
    x = 18,156.84/149.90
  6. Step 6: Final answer
    x = 121.13

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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.