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Finding the Fourth Proportional to 156.19, 215.60 and 109.56

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Solution

The fourth proportional to 156.19, 215.60 and 109.56 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.19 : 215.60 = 109.56 : x
  2. Step 2: Convert to fraction form
    156.19/215.60 = 109.56/x
  3. Step 3: Cross multiply
    156.19x = 215.60 × 109.56
  4. Step 4: Simplify right side
    156.19x = 23,621.71
  5. Step 5: Solve for x
    x = 23,621.71/156.19
  6. Step 6: Final answer
    x = 151.24

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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.