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Finding the Fourth Proportional to 89.90, 123.42 and 77.60

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Solution

The fourth proportional to 89.90, 123.42 and 77.60 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.90 : 123.42 = 77.60 : x
  2. Step 2: Convert to fraction form
    89.90/123.42 = 77.60/x
  3. Step 3: Cross multiply
    89.90x = 123.42 × 77.60
  4. Step 4: Simplify right side
    89.90x = 9,577.00
  5. Step 5: Solve for x
    x = 9,577.00/89.90
  6. Step 6: Final answer
    x = 106.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.