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Finding the Fourth Proportional to 117.99, 177.11 and 87.45

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Solution

The fourth proportional to 117.99, 177.11 and 87.45 is: 131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 177.11 = 87.45 : x
  2. Step 2: Convert to fraction form
    117.99/177.11 = 87.45/x
  3. Step 3: Cross multiply
    117.99x = 177.11 × 87.45
  4. Step 4: Simplify right side
    117.99x = 15,487.83
  5. Step 5: Solve for x
    x = 15,487.83/117.99
  6. Step 6: Final answer
    x = 131.26

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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.