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Finding the Fourth Proportional to 114.67, 157.98 and 79.57

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Solution

The fourth proportional to 114.67, 157.98 and 79.57 is: 109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.67 : 157.98 = 79.57 : x
  2. Step 2: Convert to fraction form
    114.67/157.98 = 79.57/x
  3. Step 3: Cross multiply
    114.67x = 157.98 × 79.57
  4. Step 4: Simplify right side
    114.67x = 12,570.47
  5. Step 5: Solve for x
    x = 12,570.47/114.67
  6. Step 6: Final answer
    x = 109.62

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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.