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Finding the Fourth Proportional to 70.28, 96.98 and 55.54

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Solution

The fourth proportional to 70.28, 96.98 and 55.54 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.28 : 96.98 = 55.54 : x
  2. Step 2: Convert to fraction form
    70.28/96.98 = 55.54/x
  3. Step 3: Cross multiply
    70.28x = 96.98 × 55.54
  4. Step 4: Simplify right side
    70.28x = 5,386.27
  5. Step 5: Solve for x
    x = 5,386.27/70.28
  6. Step 6: Final answer
    x = 76.64

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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.