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Finding the Fourth Proportional to 110.83, 152.81 and 90.06

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Solution

The fourth proportional to 110.83, 152.81 and 90.06 is: 124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.83 : 152.81 = 90.06 : x
  2. Step 2: Convert to fraction form
    110.83/152.81 = 90.06/x
  3. Step 3: Cross multiply
    110.83x = 152.81 × 90.06
  4. Step 4: Simplify right side
    110.83x = 13,761.93
  5. Step 5: Solve for x
    x = 13,761.93/110.83
  6. Step 6: Final answer
    x = 124.17

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Why These Related Problems?

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