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Finding the Fourth Proportional to 56.01, 83.67 and 46.89

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Solution

The fourth proportional to 56.01, 83.67 and 46.89 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.01 : 83.67 = 46.89 : x
  2. Step 2: Convert to fraction form
    56.01/83.67 = 46.89/x
  3. Step 3: Cross multiply
    56.01x = 83.67 × 46.89
  4. Step 4: Simplify right side
    56.01x = 3,923.29
  5. Step 5: Solve for x
    x = 3,923.29/56.01
  6. Step 6: Final answer
    x = 70.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.