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Finding the Fourth Proportional to 62.10, 92.98 and 46.84

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Solution

The fourth proportional to 62.10, 92.98 and 46.84 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.10 : 92.98 = 46.84 : x
  2. Step 2: Convert to fraction form
    62.10/92.98 = 46.84/x
  3. Step 3: Cross multiply
    62.10x = 92.98 × 46.84
  4. Step 4: Simplify right side
    62.10x = 4,355.40
  5. Step 5: Solve for x
    x = 4,355.40/62.10
  6. Step 6: Final answer
    x = 70.13

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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.