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Finding the Fourth Proportional to 149.10, 205.76 and 90.10

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Solution

The fourth proportional to 149.10, 205.76 and 90.10 is: 124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.10 : 205.76 = 90.10 : x
  2. Step 2: Convert to fraction form
    149.10/205.76 = 90.10/x
  3. Step 3: Cross multiply
    149.10x = 205.76 × 90.10
  4. Step 4: Simplify right side
    149.10x = 18,538.30
  5. Step 5: Solve for x
    x = 18,538.30/149.10
  6. Step 6: Final answer
    x = 124.34

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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.