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Finding the Fourth Proportional to 70.99, 97.97 and 46.42

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Solution

The fourth proportional to 70.99, 97.97 and 46.42 is: 64.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.99 : 97.97 = 46.42 : x
  2. Step 2: Convert to fraction form
    70.99/97.97 = 46.42/x
  3. Step 3: Cross multiply
    70.99x = 97.97 × 46.42
  4. Step 4: Simplify right side
    70.99x = 4,547.29
  5. Step 5: Solve for x
    x = 4,547.29/70.99
  6. Step 6: Final answer
    x = 64.06

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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.