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Finding the Fourth Proportional to 156.42, 215.79 and 98.16

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Solution

The fourth proportional to 156.42, 215.79 and 98.16 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 215.79 = 98.16 : x
  2. Step 2: Convert to fraction form
    156.42/215.79 = 98.16/x
  3. Step 3: Cross multiply
    156.42x = 215.79 × 98.16
  4. Step 4: Simplify right side
    156.42x = 21,181.95
  5. Step 5: Solve for x
    x = 21,181.95/156.42
  6. Step 6: Final answer
    x = 135.42

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Why These Related Problems?

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