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Finding the Fourth Proportional to 159.61, 220.08 and 135.01

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Solution

The fourth proportional to 159.61, 220.08 and 135.01 is: 186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.61 : 220.08 = 135.01 : x
  2. Step 2: Convert to fraction form
    159.61/220.08 = 135.01/x
  3. Step 3: Cross multiply
    159.61x = 220.08 × 135.01
  4. Step 4: Simplify right side
    159.61x = 29,713.00
  5. Step 5: Solve for x
    x = 29,713.00/159.61
  6. Step 6: Final answer
    x = 186.16

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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.