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Finding the Fourth Proportional to 71.16, 106.05 and 70.56

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Solution

The fourth proportional to 71.16, 106.05 and 70.56 is: 105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.16 : 106.05 = 70.56 : x
  2. Step 2: Convert to fraction form
    71.16/106.05 = 70.56/x
  3. Step 3: Cross multiply
    71.16x = 106.05 × 70.56
  4. Step 4: Simplify right side
    71.16x = 7,482.62
  5. Step 5: Solve for x
    x = 7,482.62/71.16
  6. Step 6: Final answer
    x = 105.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.