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Finding the Fourth Proportional to 72.14, 107.66 and 70.32

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Solution

The fourth proportional to 72.14, 107.66 and 70.32 is: 104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 107.66 = 70.32 : x
  2. Step 2: Convert to fraction form
    72.14/107.66 = 70.32/x
  3. Step 3: Cross multiply
    72.14x = 107.66 × 70.32
  4. Step 4: Simplify right side
    72.14x = 7,570.30
  5. Step 5: Solve for x
    x = 7,570.30/72.14
  6. Step 6: Final answer
    x = 104.95

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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.