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Finding the Fourth Proportional to 70.87, 97.84 and 45.01

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Solution

The fourth proportional to 70.87, 97.84 and 45.01 is: 62.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.87 : 97.84 = 45.01 : x
  2. Step 2: Convert to fraction form
    70.87/97.84 = 45.01/x
  3. Step 3: Cross multiply
    70.87x = 97.84 × 45.01
  4. Step 4: Simplify right side
    70.87x = 4,403.78
  5. Step 5: Solve for x
    x = 4,403.78/70.87
  6. Step 6: Final answer
    x = 62.14

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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.