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Finding the Fourth Proportional to 117.75, 177.53 and 93.99

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Solution

The fourth proportional to 117.75, 177.53 and 93.99 is: 141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 177.53 = 93.99 : x
  2. Step 2: Convert to fraction form
    117.75/177.53 = 93.99/x
  3. Step 3: Cross multiply
    117.75x = 177.53 × 93.99
  4. Step 4: Simplify right side
    117.75x = 16,686.28
  5. Step 5: Solve for x
    x = 16,686.28/117.75
  6. Step 6: Final answer
    x = 141.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.