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Finding the Fourth Proportional to 89.69, 123.74 and 52.35

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Solution

The fourth proportional to 89.69, 123.74 and 52.35 is: 72.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.69 : 123.74 = 52.35 : x
  2. Step 2: Convert to fraction form
    89.69/123.74 = 52.35/x
  3. Step 3: Cross multiply
    89.69x = 123.74 × 52.35
  4. Step 4: Simplify right side
    89.69x = 6,476.91
  5. Step 5: Solve for x
    x = 6,476.91/89.69
  6. Step 6: Final answer
    x = 72.22

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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.