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Finding the Fourth Proportional to 100.19, 150.21 and 48.86

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Solution

The fourth proportional to 100.19, 150.21 and 48.86 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.19 : 150.21 = 48.86 : x
  2. Step 2: Convert to fraction form
    100.19/150.21 = 48.86/x
  3. Step 3: Cross multiply
    100.19x = 150.21 × 48.86
  4. Step 4: Simplify right side
    100.19x = 7,338.51
  5. Step 5: Solve for x
    x = 7,338.51/100.19
  6. Step 6: Final answer
    x = 73.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.