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Finding the Fourth Proportional to 134.66, 202 and 48.01

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Solution

The fourth proportional to 134.66, 202 and 48.01 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.66 : 202 = 48.01 : x
  2. Step 2: Convert to fraction form
    134.66/202 = 48.01/x
  3. Step 3: Cross multiply
    134.66x = 202 × 48.01
  4. Step 4: Simplify right side
    134.66x = 9,698.02
  5. Step 5: Solve for x
    x = 9,698.02/134.66
  6. Step 6: Final answer
    x = 72.02

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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.