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Finding the Fourth Proportional to 181.16, 271.68 and 59.40

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Solution

The fourth proportional to 181.16, 271.68 and 59.40 is: 89.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.16 : 271.68 = 59.40 : x
  2. Step 2: Convert to fraction form
    181.16/271.68 = 59.40/x
  3. Step 3: Cross multiply
    181.16x = 271.68 × 59.40
  4. Step 4: Simplify right side
    181.16x = 16,137.79
  5. Step 5: Solve for x
    x = 16,137.79/181.16
  6. Step 6: Final answer
    x = 89.08

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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.