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Finding the Fourth Proportional to 160.03, 220.83 and 90.07

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Solution

The fourth proportional to 160.03, 220.83 and 90.07 is: 124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.03 : 220.83 = 90.07 : x
  2. Step 2: Convert to fraction form
    160.03/220.83 = 90.07/x
  3. Step 3: Cross multiply
    160.03x = 220.83 × 90.07
  4. Step 4: Simplify right side
    160.03x = 19,889.61
  5. Step 5: Solve for x
    x = 19,889.61/160.03
  6. Step 6: Final answer
    x = 124.29

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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.