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Finding the Fourth Proportional to 156.84, 216.45 and 87.84

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Solution

The fourth proportional to 156.84, 216.45 and 87.84 is: 121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.84 : 216.45 = 87.84 : x
  2. Step 2: Convert to fraction form
    156.84/216.45 = 87.84/x
  3. Step 3: Cross multiply
    156.84x = 216.45 × 87.84
  4. Step 4: Simplify right side
    156.84x = 19,012.97
  5. Step 5: Solve for x
    x = 19,012.97/156.84
  6. Step 6: Final answer
    x = 121.23

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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.