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Finding the Fourth Proportional to 156.09, 215.34 and 100.82

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Solution

The fourth proportional to 156.09, 215.34 and 100.82 is: 139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 215.34 = 100.82 : x
  2. Step 2: Convert to fraction form
    156.09/215.34 = 100.82/x
  3. Step 3: Cross multiply
    156.09x = 215.34 × 100.82
  4. Step 4: Simplify right side
    156.09x = 21,710.58
  5. Step 5: Solve for x
    x = 21,710.58/156.09
  6. Step 6: Final answer
    x = 139.09

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