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Finding the Fourth Proportional to 62.66, 94.10 and 52.53

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Solution

The fourth proportional to 62.66, 94.10 and 52.53 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.66 : 94.10 = 52.53 : x
  2. Step 2: Convert to fraction form
    62.66/94.10 = 52.53/x
  3. Step 3: Cross multiply
    62.66x = 94.10 × 52.53
  4. Step 4: Simplify right side
    62.66x = 4,942.81
  5. Step 5: Solve for x
    x = 4,942.81/62.66
  6. Step 6: Final answer
    x = 78.89

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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.