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Finding the Fourth Proportional to 78.94, 117.62 and 70.42

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Solution

The fourth proportional to 78.94, 117.62 and 70.42 is: 104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.94 : 117.62 = 70.42 : x
  2. Step 2: Convert to fraction form
    78.94/117.62 = 70.42/x
  3. Step 3: Cross multiply
    78.94x = 117.62 × 70.42
  4. Step 4: Simplify right side
    78.94x = 8,282.80
  5. Step 5: Solve for x
    x = 8,282.80/78.94
  6. Step 6: Final answer
    x = 104.93

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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.