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Finding the Fourth Proportional to 77.47, 116.15 and 46.99

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Solution

The fourth proportional to 77.47, 116.15 and 46.99 is: 70.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.47 : 116.15 = 46.99 : x
  2. Step 2: Convert to fraction form
    77.47/116.15 = 46.99/x
  3. Step 3: Cross multiply
    77.47x = 116.15 × 46.99
  4. Step 4: Simplify right side
    77.47x = 5,457.72
  5. Step 5: Solve for x
    x = 5,457.72/77.47
  6. Step 6: Final answer
    x = 70.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.