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Finding the Fourth Proportional to 89.82, 123.84 and 70.08

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Solution

The fourth proportional to 89.82, 123.84 and 70.08 is: 96.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.82 : 123.84 = 70.08 : x
  2. Step 2: Convert to fraction form
    89.82/123.84 = 70.08/x
  3. Step 3: Cross multiply
    89.82x = 123.84 × 70.08
  4. Step 4: Simplify right side
    89.82x = 8,678.71
  5. Step 5: Solve for x
    x = 8,678.71/89.82
  6. Step 6: Final answer
    x = 96.62

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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.