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Finding the Fourth Proportional to 101.04, 150.96 and 78.08

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Solution

The fourth proportional to 101.04, 150.96 and 78.08 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 150.96 = 78.08 : x
  2. Step 2: Convert to fraction form
    101.04/150.96 = 78.08/x
  3. Step 3: Cross multiply
    101.04x = 150.96 × 78.08
  4. Step 4: Simplify right side
    101.04x = 11,786.96
  5. Step 5: Solve for x
    x = 11,786.96/101.04
  6. Step 6: Final answer
    x = 116.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.