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Finding the Fourth Proportional to 78.14, 117.05 and 46

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Solution

The fourth proportional to 78.14, 117.05 and 46 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 117.05 = 46 : x
  2. Step 2: Convert to fraction form
    78.14/117.05 = 46/x
  3. Step 3: Cross multiply
    78.14x = 117.05 × 46
  4. Step 4: Simplify right side
    78.14x = 5,384.30
  5. Step 5: Solve for x
    x = 5,384.30/78.14
  6. Step 6: Final answer
    x = 68.91

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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.