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Finding the Fourth Proportional to 160.00, 220.59 and 110.89

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Solution

The fourth proportional to 160.00, 220.59 and 110.89 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.00 : 220.59 = 110.89 : x
  2. Step 2: Convert to fraction form
    160.00/220.59 = 110.89/x
  3. Step 3: Cross multiply
    160.00x = 220.59 × 110.89
  4. Step 4: Simplify right side
    160.00x = 24,460.67
  5. Step 5: Solve for x
    x = 24,460.67/160.00
  6. Step 6: Final answer
    x = 152.88

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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.