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Finding the Fourth Proportional to 62.56, 93.65 and 46.42

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Solution

The fourth proportional to 62.56, 93.65 and 46.42 is: 69.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.56 : 93.65 = 46.42 : x
  2. Step 2: Convert to fraction form
    62.56/93.65 = 46.42/x
  3. Step 3: Cross multiply
    62.56x = 93.65 × 46.42
  4. Step 4: Simplify right side
    62.56x = 4,346.76
  5. Step 5: Solve for x
    x = 4,346.76/62.56
  6. Step 6: Final answer
    x = 69.49

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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.