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Finding the Fourth Proportional to 156.53, 216.00 and 86.59

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Solution

The fourth proportional to 156.53, 216.00 and 86.59 is: 119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 216.00 = 86.59 : x
  2. Step 2: Convert to fraction form
    156.53/216.00 = 86.59/x
  3. Step 3: Cross multiply
    156.53x = 216.00 × 86.59
  4. Step 4: Simplify right side
    156.53x = 18,702.58
  5. Step 5: Solve for x
    x = 18,702.58/156.53
  6. Step 6: Final answer
    x = 119.48

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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.