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Finding the Fourth Proportional to 108.21, 149.29 and 64.51

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Solution

The fourth proportional to 108.21, 149.29 and 64.51 is: 89.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 149.29 = 64.51 : x
  2. Step 2: Convert to fraction form
    108.21/149.29 = 64.51/x
  3. Step 3: Cross multiply
    108.21x = 149.29 × 64.51
  4. Step 4: Simplify right side
    108.21x = 9,630.70
  5. Step 5: Solve for x
    x = 9,630.70/108.21
  6. Step 6: Final answer
    x = 89.00

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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.