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Finding the Fourth Proportional to 117.52, 177 and 93.64

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Solution

The fourth proportional to 117.52, 177 and 93.64 is: 141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.52 : 177 = 93.64 : x
  2. Step 2: Convert to fraction form
    117.52/177 = 93.64/x
  3. Step 3: Cross multiply
    117.52x = 177 × 93.64
  4. Step 4: Simplify right side
    117.52x = 16,574.28
  5. Step 5: Solve for x
    x = 16,574.28/117.52
  6. Step 6: Final answer
    x = 141.03

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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.