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Finding the Fourth Proportional to 62.90, 94.23 and 46.88

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Solution

The fourth proportional to 62.90, 94.23 and 46.88 is: 70.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.90 : 94.23 = 46.88 : x
  2. Step 2: Convert to fraction form
    62.90/94.23 = 46.88/x
  3. Step 3: Cross multiply
    62.90x = 94.23 × 46.88
  4. Step 4: Simplify right side
    62.90x = 4,417.50
  5. Step 5: Solve for x
    x = 4,417.50/62.90
  6. Step 6: Final answer
    x = 70.23

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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.