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Finding the Fourth Proportional to 61.63, 84.93 and 45.23

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Solution

The fourth proportional to 61.63, 84.93 and 45.23 is: 62.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.63 : 84.93 = 45.23 : x
  2. Step 2: Convert to fraction form
    61.63/84.93 = 45.23/x
  3. Step 3: Cross multiply
    61.63x = 84.93 × 45.23
  4. Step 4: Simplify right side
    61.63x = 3,841.38
  5. Step 5: Solve for x
    x = 3,841.38/61.63
  6. Step 6: Final answer
    x = 62.33

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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.