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Finding the Fourth Proportional to 134.65, 202.07 and 47.98

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Solution

The fourth proportional to 134.65, 202.07 and 47.98 is: 72.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.65 : 202.07 = 47.98 : x
  2. Step 2: Convert to fraction form
    134.65/202.07 = 47.98/x
  3. Step 3: Cross multiply
    134.65x = 202.07 × 47.98
  4. Step 4: Simplify right side
    134.65x = 9,695.20
  5. Step 5: Solve for x
    x = 9,695.20/134.65
  6. Step 6: Final answer
    x = 72.01

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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.