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Finding the Fourth Proportional to 70.10, 96.78 and 46.82

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Solution

The fourth proportional to 70.10, 96.78 and 46.82 is: 64.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.10 : 96.78 = 46.82 : x
  2. Step 2: Convert to fraction form
    70.10/96.78 = 46.82/x
  3. Step 3: Cross multiply
    70.10x = 96.78 × 46.82
  4. Step 4: Simplify right side
    70.10x = 4,531.01
  5. Step 5: Solve for x
    x = 4,531.01/70.10
  6. Step 6: Final answer
    x = 64.64

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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.