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Finding the Fourth Proportional to 152.06, 209.76 and 89.84

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Solution

The fourth proportional to 152.06, 209.76 and 89.84 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 209.76 = 89.84 : x
  2. Step 2: Convert to fraction form
    152.06/209.76 = 89.84/x
  3. Step 3: Cross multiply
    152.06x = 209.76 × 89.84
  4. Step 4: Simplify right side
    152.06x = 18,843.79
  5. Step 5: Solve for x
    x = 18,843.79/152.06
  6. Step 6: Final answer
    x = 123.93

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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.