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Finding the Fourth Proportional to 100.52, 150.51 and 73.05

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Solution

The fourth proportional to 100.52, 150.51 and 73.05 is: 109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.52 : 150.51 = 73.05 : x
  2. Step 2: Convert to fraction form
    100.52/150.51 = 73.05/x
  3. Step 3: Cross multiply
    100.52x = 150.51 × 73.05
  4. Step 4: Simplify right side
    100.52x = 10,994.76
  5. Step 5: Solve for x
    x = 10,994.76/100.52
  6. Step 6: Final answer
    x = 109.38

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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.