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Finding the Fourth Proportional to 100.83, 150.56 and 100.26

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Solution

The fourth proportional to 100.83, 150.56 and 100.26 is: 149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.83 : 150.56 = 100.26 : x
  2. Step 2: Convert to fraction form
    100.83/150.56 = 100.26/x
  3. Step 3: Cross multiply
    100.83x = 150.56 × 100.26
  4. Step 4: Simplify right side
    100.83x = 15,094.64
  5. Step 5: Solve for x
    x = 15,094.64/100.83
  6. Step 6: Final answer
    x = 149.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.