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Finding the Fourth Proportional to 89.34, 123 and 77.84

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Solution

The fourth proportional to 89.34, 123 and 77.84 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.34 : 123 = 77.84 : x
  2. Step 2: Convert to fraction form
    89.34/123 = 77.84/x
  3. Step 3: Cross multiply
    89.34x = 123 × 77.84
  4. Step 4: Simplify right side
    89.34x = 9,574.32
  5. Step 5: Solve for x
    x = 9,574.32/89.34
  6. Step 6: Final answer
    x = 107.17

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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.