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Finding the Fourth Proportional to 76.10, 105.13 and 70.34

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Solution

The fourth proportional to 76.10, 105.13 and 70.34 is: 97.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 105.13 = 70.34 : x
  2. Step 2: Convert to fraction form
    76.10/105.13 = 70.34/x
  3. Step 3: Cross multiply
    76.10x = 105.13 × 70.34
  4. Step 4: Simplify right side
    76.10x = 7,394.84
  5. Step 5: Solve for x
    x = 7,394.84/76.10
  6. Step 6: Final answer
    x = 97.17

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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.