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Finding the Fourth Proportional to 104.42, 155.88 and 90.75

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Solution

The fourth proportional to 104.42, 155.88 and 90.75 is: 135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.42 : 155.88 = 90.75 : x
  2. Step 2: Convert to fraction form
    104.42/155.88 = 90.75/x
  3. Step 3: Cross multiply
    104.42x = 155.88 × 90.75
  4. Step 4: Simplify right side
    104.42x = 14,146.11
  5. Step 5: Solve for x
    x = 14,146.11/104.42
  6. Step 6: Final answer
    x = 135.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.