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Finding the Fourth Proportional to 105.80, 157.89 and 89.80

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Solution

The fourth proportional to 105.80, 157.89 and 89.80 is: 134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 157.89 = 89.80 : x
  2. Step 2: Convert to fraction form
    105.80/157.89 = 89.80/x
  3. Step 3: Cross multiply
    105.80x = 157.89 × 89.80
  4. Step 4: Simplify right side
    105.80x = 14,178.52
  5. Step 5: Solve for x
    x = 14,178.52/105.80
  6. Step 6: Final answer
    x = 134.01

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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.