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Finding the Fourth Proportional to 103.84, 143.16 and 71.08

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Solution

The fourth proportional to 103.84, 143.16 and 71.08 is: 98.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 143.16 = 71.08 : x
  2. Step 2: Convert to fraction form
    103.84/143.16 = 71.08/x
  3. Step 3: Cross multiply
    103.84x = 143.16 × 71.08
  4. Step 4: Simplify right side
    103.84x = 10,175.81
  5. Step 5: Solve for x
    x = 10,175.81/103.84
  6. Step 6: Final answer
    x = 98.00

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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.