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Finding the Fourth Proportional to 117.99, 177.10 and 77.47

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Solution

The fourth proportional to 117.99, 177.10 and 77.47 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 177.10 = 77.47 : x
  2. Step 2: Convert to fraction form
    117.99/177.10 = 77.47/x
  3. Step 3: Cross multiply
    117.99x = 177.10 × 77.47
  4. Step 4: Simplify right side
    117.99x = 13,719.30
  5. Step 5: Solve for x
    x = 13,719.30/117.99
  6. Step 6: Final answer
    x = 116.28

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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.