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Finding the Fourth Proportional to 181.32, 272.02 and 65.84

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Solution

The fourth proportional to 181.32, 272.02 and 65.84 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.32 : 272.02 = 65.84 : x
  2. Step 2: Convert to fraction form
    181.32/272.02 = 65.84/x
  3. Step 3: Cross multiply
    181.32x = 272.02 × 65.84
  4. Step 4: Simplify right side
    181.32x = 17,909.80
  5. Step 5: Solve for x
    x = 17,909.80/181.32
  6. Step 6: Final answer
    x = 98.77

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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.