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Finding the Fourth Proportional to 109.48, 150.85 and 89.75

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Solution

The fourth proportional to 109.48, 150.85 and 89.75 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.48 : 150.85 = 89.75 : x
  2. Step 2: Convert to fraction form
    109.48/150.85 = 89.75/x
  3. Step 3: Cross multiply
    109.48x = 150.85 × 89.75
  4. Step 4: Simplify right side
    109.48x = 13,538.47
  5. Step 5: Solve for x
    x = 13,538.47/109.48
  6. Step 6: Final answer
    x = 123.67

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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.