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Finding the Fourth Proportional to 70.13, 96.77 and 42.50

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Solution

The fourth proportional to 70.13, 96.77 and 42.50 is: 58.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 96.77 = 42.50 : x
  2. Step 2: Convert to fraction form
    70.13/96.77 = 42.50/x
  3. Step 3: Cross multiply
    70.13x = 96.77 × 42.50
  4. Step 4: Simplify right side
    70.13x = 4,112.73
  5. Step 5: Solve for x
    x = 4,112.73/70.13
  6. Step 6: Final answer
    x = 58.64

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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.