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Finding the Fourth Proportional to 108.87, 150.01 and 102.32

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Solution

The fourth proportional to 108.87, 150.01 and 102.32 is: 140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.87 : 150.01 = 102.32 : x
  2. Step 2: Convert to fraction form
    108.87/150.01 = 102.32/x
  3. Step 3: Cross multiply
    108.87x = 150.01 × 102.32
  4. Step 4: Simplify right side
    108.87x = 15,349.02
  5. Step 5: Solve for x
    x = 15,349.02/108.87
  6. Step 6: Final answer
    x = 140.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.