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Finding the Fourth Proportional to 74.16, 102.83 and 71.15

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Solution

The fourth proportional to 74.16, 102.83 and 71.15 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 102.83 = 71.15 : x
  2. Step 2: Convert to fraction form
    74.16/102.83 = 71.15/x
  3. Step 3: Cross multiply
    74.16x = 102.83 × 71.15
  4. Step 4: Simplify right side
    74.16x = 7,315.48
  5. Step 5: Solve for x
    x = 7,315.48/74.16
  6. Step 6: Final answer
    x = 98.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.