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Finding the Fourth Proportional to 74.55, 102.93 and 59.85

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Solution

The fourth proportional to 74.55, 102.93 and 59.85 is: 82.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.55 : 102.93 = 59.85 : x
  2. Step 2: Convert to fraction form
    74.55/102.93 = 59.85/x
  3. Step 3: Cross multiply
    74.55x = 102.93 × 59.85
  4. Step 4: Simplify right side
    74.55x = 6,160.36
  5. Step 5: Solve for x
    x = 6,160.36/74.55
  6. Step 6: Final answer
    x = 82.63

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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.