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Finding the Fourth Proportional to 109.12, 150.62 and 70.32

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Solution

The fourth proportional to 109.12, 150.62 and 70.32 is: 97.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.12 : 150.62 = 70.32 : x
  2. Step 2: Convert to fraction form
    109.12/150.62 = 70.32/x
  3. Step 3: Cross multiply
    109.12x = 150.62 × 70.32
  4. Step 4: Simplify right side
    109.12x = 10,591.60
  5. Step 5: Solve for x
    x = 10,591.60/109.12
  6. Step 6: Final answer
    x = 97.06

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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.