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Finding the Fourth Proportional to 101.02, 150.52 and 94.82

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Solution

The fourth proportional to 101.02, 150.52 and 94.82 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.02 : 150.52 = 94.82 : x
  2. Step 2: Convert to fraction form
    101.02/150.52 = 94.82/x
  3. Step 3: Cross multiply
    101.02x = 150.52 × 94.82
  4. Step 4: Simplify right side
    101.02x = 14,272.31
  5. Step 5: Solve for x
    x = 14,272.31/101.02
  6. Step 6: Final answer
    x = 141.28

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Why These Related Problems?

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