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Finding the Fourth Proportional to 108.53, 149.72 and 64.86

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Solution

The fourth proportional to 108.53, 149.72 and 64.86 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.53 : 149.72 = 64.86 : x
  2. Step 2: Convert to fraction form
    108.53/149.72 = 64.86/x
  3. Step 3: Cross multiply
    108.53x = 149.72 × 64.86
  4. Step 4: Simplify right side
    108.53x = 9,710.84
  5. Step 5: Solve for x
    x = 9,710.84/108.53
  6. Step 6: Final answer
    x = 89.48

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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.