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Finding the Fourth Proportional to 150.77, 207.99 and 107.03

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Solution

The fourth proportional to 150.77, 207.99 and 107.03 is: 147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.77 : 207.99 = 107.03 : x
  2. Step 2: Convert to fraction form
    150.77/207.99 = 107.03/x
  3. Step 3: Cross multiply
    150.77x = 207.99 × 107.03
  4. Step 4: Simplify right side
    150.77x = 22,261.17
  5. Step 5: Solve for x
    x = 22,261.17/150.77
  6. Step 6: Final answer
    x = 147.65

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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.