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Finding the Fourth Proportional to 156.82, 235.24 and 54.10

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Solution

The fourth proportional to 156.82, 235.24 and 54.10 is: 81.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.82 : 235.24 = 54.10 : x
  2. Step 2: Convert to fraction form
    156.82/235.24 = 54.10/x
  3. Step 3: Cross multiply
    156.82x = 235.24 × 54.10
  4. Step 4: Simplify right side
    156.82x = 12,726.48
  5. Step 5: Solve for x
    x = 12,726.48/156.82
  6. Step 6: Final answer
    x = 81.15

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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.