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Finding the Fourth Proportional to 156.48, 215.94 and 86.53

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Solution

The fourth proportional to 156.48, 215.94 and 86.53 is: 119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.48 : 215.94 = 86.53 : x
  2. Step 2: Convert to fraction form
    156.48/215.94 = 86.53/x
  3. Step 3: Cross multiply
    156.48x = 215.94 × 86.53
  4. Step 4: Simplify right side
    156.48x = 18,685.29
  5. Step 5: Solve for x
    x = 18,685.29/156.48
  6. Step 6: Final answer
    x = 119.41

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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.