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Finding the Fourth Proportional to 109.64, 151.34 and 86.01

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Solution

The fourth proportional to 109.64, 151.34 and 86.01 is: 118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 151.34 = 86.01 : x
  2. Step 2: Convert to fraction form
    109.64/151.34 = 86.01/x
  3. Step 3: Cross multiply
    109.64x = 151.34 × 86.01
  4. Step 4: Simplify right side
    109.64x = 13,016.32
  5. Step 5: Solve for x
    x = 13,016.32/109.64
  6. Step 6: Final answer
    x = 118.72

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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.