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Finding the Fourth Proportional to 156.57, 216.14 and 98.43

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Solution

The fourth proportional to 156.57, 216.14 and 98.43 is: 135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.57 : 216.14 = 98.43 : x
  2. Step 2: Convert to fraction form
    156.57/216.14 = 98.43/x
  3. Step 3: Cross multiply
    156.57x = 216.14 × 98.43
  4. Step 4: Simplify right side
    156.57x = 21,274.17
  5. Step 5: Solve for x
    x = 21,274.17/156.57
  6. Step 6: Final answer
    x = 135.88

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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.