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Finding the Fourth Proportional to 70.12, 96.78 and 53.77

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Solution

The fourth proportional to 70.12, 96.78 and 53.77 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.12 : 96.78 = 53.77 : x
  2. Step 2: Convert to fraction form
    70.12/96.78 = 53.77/x
  3. Step 3: Cross multiply
    70.12x = 96.78 × 53.77
  4. Step 4: Simplify right side
    70.12x = 5,203.86
  5. Step 5: Solve for x
    x = 5,203.86/70.12
  6. Step 6: Final answer
    x = 74.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.