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Finding the Fourth Proportional to 119.08, 178.65 and 46.96

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Solution

The fourth proportional to 119.08, 178.65 and 46.96 is: 70.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.08 : 178.65 = 46.96 : x
  2. Step 2: Convert to fraction form
    119.08/178.65 = 46.96/x
  3. Step 3: Cross multiply
    119.08x = 178.65 × 46.96
  4. Step 4: Simplify right side
    119.08x = 8,389.40
  5. Step 5: Solve for x
    x = 8,389.40/119.08
  6. Step 6: Final answer
    x = 70.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.