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Finding the Fourth Proportional to 156.48, 215.86 and 104.02

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Solution

The fourth proportional to 156.48, 215.86 and 104.02 is: 143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.48 : 215.86 = 104.02 : x
  2. Step 2: Convert to fraction form
    156.48/215.86 = 104.02/x
  3. Step 3: Cross multiply
    156.48x = 215.86 × 104.02
  4. Step 4: Simplify right side
    156.48x = 22,453.76
  5. Step 5: Solve for x
    x = 22,453.76/156.48
  6. Step 6: Final answer
    x = 143.49

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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.