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Finding the Fourth Proportional to 70.40, 96.93 and 53.82

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Solution

The fourth proportional to 70.40, 96.93 and 53.82 is: 74.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.40 : 96.93 = 53.82 : x
  2. Step 2: Convert to fraction form
    70.40/96.93 = 53.82/x
  3. Step 3: Cross multiply
    70.40x = 96.93 × 53.82
  4. Step 4: Simplify right side
    70.40x = 5,216.77
  5. Step 5: Solve for x
    x = 5,216.77/70.40
  6. Step 6: Final answer
    x = 74.11

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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.