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Finding the Fourth Proportional to 109.45, 150.65 and 90.82

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Solution

The fourth proportional to 109.45, 150.65 and 90.82 is: 125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.45 : 150.65 = 90.82 : x
  2. Step 2: Convert to fraction form
    109.45/150.65 = 90.82/x
  3. Step 3: Cross multiply
    109.45x = 150.65 × 90.82
  4. Step 4: Simplify right side
    109.45x = 13,681.20
  5. Step 5: Solve for x
    x = 13,681.20/109.45
  6. Step 6: Final answer
    x = 125.00

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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.