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Finding the Fourth Proportional to 103.64, 143.06 and 70.95

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Solution

The fourth proportional to 103.64, 143.06 and 70.95 is: 97.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.64 : 143.06 = 70.95 : x
  2. Step 2: Convert to fraction form
    103.64/143.06 = 70.95/x
  3. Step 3: Cross multiply
    103.64x = 143.06 × 70.95
  4. Step 4: Simplify right side
    103.64x = 10,149.75
  5. Step 5: Solve for x
    x = 10,149.75/103.64
  6. Step 6: Final answer
    x = 97.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.