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Finding the Fourth Proportional to 70.16, 105 and 49.88

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Solution

The fourth proportional to 70.16, 105 and 49.88 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.16 : 105 = 49.88 : x
  2. Step 2: Convert to fraction form
    70.16/105 = 49.88/x
  3. Step 3: Cross multiply
    70.16x = 105 × 49.88
  4. Step 4: Simplify right side
    70.16x = 5,237.40
  5. Step 5: Solve for x
    x = 5,237.40/70.16
  6. Step 6: Final answer
    x = 74.65

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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.