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Finding the Fourth Proportional to 108.88, 150.24 and 59.76

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Solution

The fourth proportional to 108.88, 150.24 and 59.76 is: 82.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.88 : 150.24 = 59.76 : x
  2. Step 2: Convert to fraction form
    108.88/150.24 = 59.76/x
  3. Step 3: Cross multiply
    108.88x = 150.24 × 59.76
  4. Step 4: Simplify right side
    108.88x = 8,978.34
  5. Step 5: Solve for x
    x = 8,978.34/108.88
  6. Step 6: Final answer
    x = 82.46

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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.