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Finding the Fourth Proportional to 109.02, 150.43 and 64.74

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Solution

The fourth proportional to 109.02, 150.43 and 64.74 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 150.43 = 64.74 : x
  2. Step 2: Convert to fraction form
    109.02/150.43 = 64.74/x
  3. Step 3: Cross multiply
    109.02x = 150.43 × 64.74
  4. Step 4: Simplify right side
    109.02x = 9,738.84
  5. Step 5: Solve for x
    x = 9,738.84/109.02
  6. Step 6: Final answer
    x = 89.33

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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.