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Finding the Fourth Proportional to 148.60, 204.96 and 90.40

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Solution

The fourth proportional to 148.60, 204.96 and 90.40 is: 124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.60 : 204.96 = 90.40 : x
  2. Step 2: Convert to fraction form
    148.60/204.96 = 90.40/x
  3. Step 3: Cross multiply
    148.60x = 204.96 × 90.40
  4. Step 4: Simplify right side
    148.60x = 18,528.38
  5. Step 5: Solve for x
    x = 18,528.38/148.60
  6. Step 6: Final answer
    x = 124.69

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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.