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Finding the Fourth Proportional to 109, 150.38 and 65.32

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Solution

The fourth proportional to 109, 150.38 and 65.32 is: 90.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 150.38 = 65.32 : x
  2. Step 2: Convert to fraction form
    109/150.38 = 65.32/x
  3. Step 3: Cross multiply
    109x = 150.38 × 65.32
  4. Step 4: Simplify right side
    109x = 9,822.82
  5. Step 5: Solve for x
    x = 9,822.82/109
  6. Step 6: Final answer
    x = 90.12

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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.