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Finding the Fourth Proportional to 89.90, 134.85 and 35.83

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Solution

The fourth proportional to 89.90, 134.85 and 35.83 is: 53.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.90 : 134.85 = 35.83 : x
  2. Step 2: Convert to fraction form
    89.90/134.85 = 35.83/x
  3. Step 3: Cross multiply
    89.90x = 134.85 × 35.83
  4. Step 4: Simplify right side
    89.90x = 4,831.68
  5. Step 5: Solve for x
    x = 4,831.68/89.90
  6. Step 6: Final answer
    x = 53.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.