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Finding the Fourth Proportional to 70.49, 106.01 and 56.99

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Solution

The fourth proportional to 70.49, 106.01 and 56.99 is: 85.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.49 : 106.01 = 56.99 : x
  2. Step 2: Convert to fraction form
    70.49/106.01 = 56.99/x
  3. Step 3: Cross multiply
    70.49x = 106.01 × 56.99
  4. Step 4: Simplify right side
    70.49x = 6,040.69
  5. Step 5: Solve for x
    x = 6,040.69/70.49
  6. Step 6: Final answer
    x = 85.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.