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Finding the Fourth Proportional to 89.59, 123.64 and 50.78

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Solution

The fourth proportional to 89.59, 123.64 and 50.78 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.59 : 123.64 = 50.78 : x
  2. Step 2: Convert to fraction form
    89.59/123.64 = 50.78/x
  3. Step 3: Cross multiply
    89.59x = 123.64 × 50.78
  4. Step 4: Simplify right side
    89.59x = 6,278.44
  5. Step 5: Solve for x
    x = 6,278.44/89.59
  6. Step 6: Final answer
    x = 70.08

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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.