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Finding the Fourth Proportional to 156.53, 216.07 and 98.35

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Solution

The fourth proportional to 156.53, 216.07 and 98.35 is: 135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 216.07 = 98.35 : x
  2. Step 2: Convert to fraction form
    156.53/216.07 = 98.35/x
  3. Step 3: Cross multiply
    156.53x = 216.07 × 98.35
  4. Step 4: Simplify right side
    156.53x = 21,249.70
  5. Step 5: Solve for x
    x = 21,249.70/156.53
  6. Step 6: Final answer
    x = 135.75

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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.