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Finding the Fourth Proportional to 119.16, 177.48 and 117.72

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Solution

The fourth proportional to 119.16, 177.48 and 117.72 is: 175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 177.48 = 117.72 : x
  2. Step 2: Convert to fraction form
    119.16/177.48 = 117.72/x
  3. Step 3: Cross multiply
    119.16x = 177.48 × 117.72
  4. Step 4: Simplify right side
    119.16x = 20,892.95
  5. Step 5: Solve for x
    x = 20,892.95/119.16
  6. Step 6: Final answer
    x = 175.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.