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Finding the Fourth Proportional to 119.18, 177.80 and 115.08

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Solution

The fourth proportional to 119.18, 177.80 and 115.08 is: 171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.18 : 177.80 = 115.08 : x
  2. Step 2: Convert to fraction form
    119.18/177.80 = 115.08/x
  3. Step 3: Cross multiply
    119.18x = 177.80 × 115.08
  4. Step 4: Simplify right side
    119.18x = 20,461.51
  5. Step 5: Solve for x
    x = 20,461.51/119.18
  6. Step 6: Final answer
    x = 171.68

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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.