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Finding the Fourth Proportional to 156.38, 215.62 and 106.53

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Solution

The fourth proportional to 156.38, 215.62 and 106.53 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.38 : 215.62 = 106.53 : x
  2. Step 2: Convert to fraction form
    156.38/215.62 = 106.53/x
  3. Step 3: Cross multiply
    156.38x = 215.62 × 106.53
  4. Step 4: Simplify right side
    156.38x = 22,970.54
  5. Step 5: Solve for x
    x = 22,970.54/156.38
  6. Step 6: Final answer
    x = 146.89

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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.