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Finding the Fourth Proportional to 180.88, 271.58 and 93.09

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Solution

The fourth proportional to 180.88, 271.58 and 93.09 is: 139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.88 : 271.58 = 93.09 : x
  2. Step 2: Convert to fraction form
    180.88/271.58 = 93.09/x
  3. Step 3: Cross multiply
    180.88x = 271.58 × 93.09
  4. Step 4: Simplify right side
    180.88x = 25,281.38
  5. Step 5: Solve for x
    x = 25,281.38/180.88
  6. Step 6: Final answer
    x = 139.77

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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.