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Finding the Fourth Proportional to 66.89, 92.09 and 53.00

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Solution

The fourth proportional to 66.89, 92.09 and 53.00 is: 72.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.89 : 92.09 = 53.00 : x
  2. Step 2: Convert to fraction form
    66.89/92.09 = 53.00/x
  3. Step 3: Cross multiply
    66.89x = 92.09 × 53.00
  4. Step 4: Simplify right side
    66.89x = 4,880.04
  5. Step 5: Solve for x
    x = 4,880.04/66.89
  6. Step 6: Final answer
    x = 72.96

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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.