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Finding the Fourth Proportional to 70.96, 97.95 and 55.40

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Solution

The fourth proportional to 70.96, 97.95 and 55.40 is: 76.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.96 : 97.95 = 55.40 : x
  2. Step 2: Convert to fraction form
    70.96/97.95 = 55.40/x
  3. Step 3: Cross multiply
    70.96x = 97.95 × 55.40
  4. Step 4: Simplify right side
    70.96x = 5,426.43
  5. Step 5: Solve for x
    x = 5,426.43/70.96
  6. Step 6: Final answer
    x = 76.47

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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.