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Finding the Fourth Proportional to 109.64, 150.70 and 98.48

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Solution

The fourth proportional to 109.64, 150.70 and 98.48 is: 135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 150.70 = 98.48 : x
  2. Step 2: Convert to fraction form
    109.64/150.70 = 98.48/x
  3. Step 3: Cross multiply
    109.64x = 150.70 × 98.48
  4. Step 4: Simplify right side
    109.64x = 14,840.94
  5. Step 5: Solve for x
    x = 14,840.94/109.64
  6. Step 6: Final answer
    x = 135.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.