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Finding the Fourth Proportional to 61.74, 92.50 and 46.52

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Solution

The fourth proportional to 61.74, 92.50 and 46.52 is: 69.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.74 : 92.50 = 46.52 : x
  2. Step 2: Convert to fraction form
    61.74/92.50 = 46.52/x
  3. Step 3: Cross multiply
    61.74x = 92.50 × 46.52
  4. Step 4: Simplify right side
    61.74x = 4,303.10
  5. Step 5: Solve for x
    x = 4,303.10/61.74
  6. Step 6: Final answer
    x = 69.70

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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.