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Finding the Fourth Proportional to 119.95, 178.65 and 115.70

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Solution

The fourth proportional to 119.95, 178.65 and 115.70 is: 172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.95 : 178.65 = 115.70 : x
  2. Step 2: Convert to fraction form
    119.95/178.65 = 115.70/x
  3. Step 3: Cross multiply
    119.95x = 178.65 × 115.70
  4. Step 4: Simplify right side
    119.95x = 20,669.81
  5. Step 5: Solve for x
    x = 20,669.81/119.95
  6. Step 6: Final answer
    x = 172.32

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Why These Related Problems?

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