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Finding the Fourth Proportional to 98.77, 148.21 and 47.47

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Solution

The fourth proportional to 98.77, 148.21 and 47.47 is: 71.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.77 : 148.21 = 47.47 : x
  2. Step 2: Convert to fraction form
    98.77/148.21 = 47.47/x
  3. Step 3: Cross multiply
    98.77x = 148.21 × 47.47
  4. Step 4: Simplify right side
    98.77x = 7,035.53
  5. Step 5: Solve for x
    x = 7,035.53/98.77
  6. Step 6: Final answer
    x = 71.23

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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.