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Finding the Fourth Proportional to 66.97, 100.53 and 46.77

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Solution

The fourth proportional to 66.97, 100.53 and 46.77 is: 70.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.97 : 100.53 = 46.77 : x
  2. Step 2: Convert to fraction form
    66.97/100.53 = 46.77/x
  3. Step 3: Cross multiply
    66.97x = 100.53 × 46.77
  4. Step 4: Simplify right side
    66.97x = 4,701.79
  5. Step 5: Solve for x
    x = 4,701.79/66.97
  6. Step 6: Final answer
    x = 70.21

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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.