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Finding the Fourth Proportional to 109.19, 150.59 and 65.52

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Solution

The fourth proportional to 109.19, 150.59 and 65.52 is: 90.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.19 : 150.59 = 65.52 : x
  2. Step 2: Convert to fraction form
    109.19/150.59 = 65.52/x
  3. Step 3: Cross multiply
    109.19x = 150.59 × 65.52
  4. Step 4: Simplify right side
    109.19x = 9,866.33
  5. Step 5: Solve for x
    x = 9,866.33/109.19
  6. Step 6: Final answer
    x = 90.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.