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Finding the Fourth Proportional to 84.51, 126.47 and 64.10

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Solution

The fourth proportional to 84.51, 126.47 and 64.10 is: 95.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 126.47 = 64.10 : x
  2. Step 2: Convert to fraction form
    84.51/126.47 = 64.10/x
  3. Step 3: Cross multiply
    84.51x = 126.47 × 64.10
  4. Step 4: Simplify right side
    84.51x = 8,107.20
  5. Step 5: Solve for x
    x = 8,107.20/84.51
  6. Step 6: Final answer
    x = 95.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.