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Finding the Fourth Proportional to 156.12, 215.40 and 107.04

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Solution

The fourth proportional to 156.12, 215.40 and 107.04 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.12 : 215.40 = 107.04 : x
  2. Step 2: Convert to fraction form
    156.12/215.40 = 107.04/x
  3. Step 3: Cross multiply
    156.12x = 215.40 × 107.04
  4. Step 4: Simplify right side
    156.12x = 23,056.42
  5. Step 5: Solve for x
    x = 23,056.42/156.12
  6. Step 6: Final answer
    x = 147.68

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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.