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Finding the Fourth Proportional to 73.98, 102.13 and 52.99

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Solution

The fourth proportional to 73.98, 102.13 and 52.99 is: 73.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.98 : 102.13 = 52.99 : x
  2. Step 2: Convert to fraction form
    73.98/102.13 = 52.99/x
  3. Step 3: Cross multiply
    73.98x = 102.13 × 52.99
  4. Step 4: Simplify right side
    73.98x = 5,411.74
  5. Step 5: Solve for x
    x = 5,411.74/73.98
  6. Step 6: Final answer
    x = 73.15

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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.