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Finding the Fourth Proportional to 108.64, 150.14 and 86.77

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Solution

The fourth proportional to 108.64, 150.14 and 86.77 is: 119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 150.14 = 86.77 : x
  2. Step 2: Convert to fraction form
    108.64/150.14 = 86.77/x
  3. Step 3: Cross multiply
    108.64x = 150.14 × 86.77
  4. Step 4: Simplify right side
    108.64x = 13,026.46
  5. Step 5: Solve for x
    x = 13,026.46/108.64
  6. Step 6: Final answer
    x = 119.91

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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.