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Finding the Fourth Proportional to 156.38, 215.72 and 123.57

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Solution

The fourth proportional to 156.38, 215.72 and 123.57 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.38 : 215.72 = 123.57 : x
  2. Step 2: Convert to fraction form
    156.38/215.72 = 123.57/x
  3. Step 3: Cross multiply
    156.38x = 215.72 × 123.57
  4. Step 4: Simplify right side
    156.38x = 26,655.90
  5. Step 5: Solve for x
    x = 26,655.90/156.38
  6. Step 6: Final answer
    x = 170.46

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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.