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Finding the Fourth Proportional to 100.14, 150.28 and 52.08

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Solution

The fourth proportional to 100.14, 150.28 and 52.08 is: 78.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 150.28 = 52.08 : x
  2. Step 2: Convert to fraction form
    100.14/150.28 = 52.08/x
  3. Step 3: Cross multiply
    100.14x = 150.28 × 52.08
  4. Step 4: Simplify right side
    100.14x = 7,826.58
  5. Step 5: Solve for x
    x = 7,826.58/100.14
  6. Step 6: Final answer
    x = 78.16

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Why These Related Problems?

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