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Finding the Fourth Proportional to 109.34, 150.92 and 70.00

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Solution

The fourth proportional to 109.34, 150.92 and 70.00 is: 96.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.34 : 150.92 = 70.00 : x
  2. Step 2: Convert to fraction form
    109.34/150.92 = 70.00/x
  3. Step 3: Cross multiply
    109.34x = 150.92 × 70.00
  4. Step 4: Simplify right side
    109.34x = 10,563.94
  5. Step 5: Solve for x
    x = 10,563.94/109.34
  6. Step 6: Final answer
    x = 96.62

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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.