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Finding the Fourth Proportional to 156.16, 215.50 and 86.22

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Solution

The fourth proportional to 156.16, 215.50 and 86.22 is: 118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 215.50 = 86.22 : x
  2. Step 2: Convert to fraction form
    156.16/215.50 = 86.22/x
  3. Step 3: Cross multiply
    156.16x = 215.50 × 86.22
  4. Step 4: Simplify right side
    156.16x = 18,580.41
  5. Step 5: Solve for x
    x = 18,580.41/156.16
  6. Step 6: Final answer
    x = 118.98

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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.