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Finding the Fourth Proportional to 109.14, 150.65 and 65.51

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Solution

The fourth proportional to 109.14, 150.65 and 65.51 is: 90.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 150.65 = 65.51 : x
  2. Step 2: Convert to fraction form
    109.14/150.65 = 65.51/x
  3. Step 3: Cross multiply
    109.14x = 150.65 × 65.51
  4. Step 4: Simplify right side
    109.14x = 9,868.00
  5. Step 5: Solve for x
    x = 9,868.00/109.14
  6. Step 6: Final answer
    x = 90.42

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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.