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Finding the Fourth Proportional to 117.60, 176 and 114.88

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Solution

The fourth proportional to 117.60, 176 and 114.88 is: 171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 176 = 114.88 : x
  2. Step 2: Convert to fraction form
    117.60/176 = 114.88/x
  3. Step 3: Cross multiply
    117.60x = 176 × 114.88
  4. Step 4: Simplify right side
    117.60x = 20,218.88
  5. Step 5: Solve for x
    x = 20,218.88/117.60
  6. Step 6: Final answer
    x = 171.93

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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.