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Finding the Fourth Proportional to 177.34, 266.06 and 85.99

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Solution

The fourth proportional to 177.34, 266.06 and 85.99 is: 129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 266.06 = 85.99 : x
  2. Step 2: Convert to fraction form
    177.34/266.06 = 85.99/x
  3. Step 3: Cross multiply
    177.34x = 266.06 × 85.99
  4. Step 4: Simplify right side
    177.34x = 22,878.05
  5. Step 5: Solve for x
    x = 22,878.05/177.34
  6. Step 6: Final answer
    x = 129.01

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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.