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Finding the Fourth Proportional to 146.76, 219.94 and 78.14

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Solution

The fourth proportional to 146.76, 219.94 and 78.14 is: 117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.76 : 219.94 = 78.14 : x
  2. Step 2: Convert to fraction form
    146.76/219.94 = 78.14/x
  3. Step 3: Cross multiply
    146.76x = 219.94 × 78.14
  4. Step 4: Simplify right side
    146.76x = 17,186.11
  5. Step 5: Solve for x
    x = 17,186.11/146.76
  6. Step 6: Final answer
    x = 117.10

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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.