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Finding the Fourth Proportional to 66.34, 99.35 and 53.59

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Solution

The fourth proportional to 66.34, 99.35 and 53.59 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.34 : 99.35 = 53.59 : x
  2. Step 2: Convert to fraction form
    66.34/99.35 = 53.59/x
  3. Step 3: Cross multiply
    66.34x = 99.35 × 53.59
  4. Step 4: Simplify right side
    66.34x = 5,323.91
  5. Step 5: Solve for x
    x = 5,323.91/66.34
  6. Step 6: Final answer
    x = 80.25

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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.