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Finding the Fourth Proportional to 70.69, 105.42 and 59.93

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Solution

The fourth proportional to 70.69, 105.42 and 59.93 is: 89.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.69 : 105.42 = 59.93 : x
  2. Step 2: Convert to fraction form
    70.69/105.42 = 59.93/x
  3. Step 3: Cross multiply
    70.69x = 105.42 × 59.93
  4. Step 4: Simplify right side
    70.69x = 6,317.82
  5. Step 5: Solve for x
    x = 6,317.82/70.69
  6. Step 6: Final answer
    x = 89.37

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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.