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Finding the Fourth Proportional to 105.65, 145.64 and 70.62

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Solution

The fourth proportional to 105.65, 145.64 and 70.62 is: 97.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.65 : 145.64 = 70.62 : x
  2. Step 2: Convert to fraction form
    105.65/145.64 = 70.62/x
  3. Step 3: Cross multiply
    105.65x = 145.64 × 70.62
  4. Step 4: Simplify right side
    105.65x = 10,285.27
  5. Step 5: Solve for x
    x = 10,285.27/105.65
  6. Step 6: Final answer
    x = 97.35

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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.