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Finding the Fourth Proportional to 101.60, 139.88 and 78.16

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Solution

The fourth proportional to 101.60, 139.88 and 78.16 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 139.88 = 78.16 : x
  2. Step 2: Convert to fraction form
    101.60/139.88 = 78.16/x
  3. Step 3: Cross multiply
    101.60x = 139.88 × 78.16
  4. Step 4: Simplify right side
    101.60x = 10,933.02
  5. Step 5: Solve for x
    x = 10,933.02/101.60
  6. Step 6: Final answer
    x = 107.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.