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Finding the Fourth Proportional to 89.39, 134.29 and 52.92

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Solution

The fourth proportional to 89.39, 134.29 and 52.92 is: 79.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.39 : 134.29 = 52.92 : x
  2. Step 2: Convert to fraction form
    89.39/134.29 = 52.92/x
  3. Step 3: Cross multiply
    89.39x = 134.29 × 52.92
  4. Step 4: Simplify right side
    89.39x = 7,106.69
  5. Step 5: Solve for x
    x = 7,106.69/89.39
  6. Step 6: Final answer
    x = 79.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.