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Finding the Fourth Proportional to 108.51, 149.72 and 64.82

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Solution

The fourth proportional to 108.51, 149.72 and 64.82 is: 89.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.51 : 149.72 = 64.82 : x
  2. Step 2: Convert to fraction form
    108.51/149.72 = 64.82/x
  3. Step 3: Cross multiply
    108.51x = 149.72 × 64.82
  4. Step 4: Simplify right side
    108.51x = 9,703.78
  5. Step 5: Solve for x
    x = 9,703.78/108.51
  6. Step 6: Final answer
    x = 89.43

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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.