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Finding the Fourth Proportional to 62.65, 93.77 and 53.42

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Solution

The fourth proportional to 62.65, 93.77 and 53.42 is: 79.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 93.77 = 53.42 : x
  2. Step 2: Convert to fraction form
    62.65/93.77 = 53.42/x
  3. Step 3: Cross multiply
    62.65x = 93.77 × 53.42
  4. Step 4: Simplify right side
    62.65x = 5,009.19
  5. Step 5: Solve for x
    x = 5,009.19/62.65
  6. Step 6: Final answer
    x = 79.96

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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.