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Finding the Fourth Proportional to 70.53, 106.28 and 59.34

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Solution

The fourth proportional to 70.53, 106.28 and 59.34 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.53 : 106.28 = 59.34 : x
  2. Step 2: Convert to fraction form
    70.53/106.28 = 59.34/x
  3. Step 3: Cross multiply
    70.53x = 106.28 × 59.34
  4. Step 4: Simplify right side
    70.53x = 6,306.36
  5. Step 5: Solve for x
    x = 6,306.36/70.53
  6. Step 6: Final answer
    x = 89.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.