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Finding the Fourth Proportional to 156.14, 215.51 and 103.69

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Solution

The fourth proportional to 156.14, 215.51 and 103.69 is: 143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.14 : 215.51 = 103.69 : x
  2. Step 2: Convert to fraction form
    156.14/215.51 = 103.69/x
  3. Step 3: Cross multiply
    156.14x = 215.51 × 103.69
  4. Step 4: Simplify right side
    156.14x = 22,345.67
  5. Step 5: Solve for x
    x = 22,345.67/156.14
  6. Step 6: Final answer
    x = 143.11

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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.