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Finding the Fourth Proportional to 150.76, 207.77 and 107.02

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Solution

The fourth proportional to 150.76, 207.77 and 107.02 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.76 : 207.77 = 107.02 : x
  2. Step 2: Convert to fraction form
    150.76/207.77 = 107.02/x
  3. Step 3: Cross multiply
    150.76x = 207.77 × 107.02
  4. Step 4: Simplify right side
    150.76x = 22,235.27
  5. Step 5: Solve for x
    x = 22,235.27/150.76
  6. Step 6: Final answer
    x = 147.49

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