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Finding the Fourth Proportional to 152.15, 209.89 and 117.11

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Solution

The fourth proportional to 152.15, 209.89 and 117.11 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.15 : 209.89 = 117.11 : x
  2. Step 2: Convert to fraction form
    152.15/209.89 = 117.11/x
  3. Step 3: Cross multiply
    152.15x = 209.89 × 117.11
  4. Step 4: Simplify right side
    152.15x = 24,580.89
  5. Step 5: Solve for x
    x = 24,580.89/152.15
  6. Step 6: Final answer
    x = 161.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.