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Finding the Fourth Proportional to 70.04, 96.69 and 54.46

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Solution

The fourth proportional to 70.04, 96.69 and 54.46 is: 75.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.04 : 96.69 = 54.46 : x
  2. Step 2: Convert to fraction form
    70.04/96.69 = 54.46/x
  3. Step 3: Cross multiply
    70.04x = 96.69 × 54.46
  4. Step 4: Simplify right side
    70.04x = 5,265.76
  5. Step 5: Solve for x
    x = 5,265.76/70.04
  6. Step 6: Final answer
    x = 75.19

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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.