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Finding the Fourth Proportional to 134.40, 201.60 and 52.13

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Solution

The fourth proportional to 134.40, 201.60 and 52.13 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 201.60 = 52.13 : x
  2. Step 2: Convert to fraction form
    134.40/201.60 = 52.13/x
  3. Step 3: Cross multiply
    134.40x = 201.60 × 52.13
  4. Step 4: Simplify right side
    134.40x = 10,509.41
  5. Step 5: Solve for x
    x = 10,509.41/134.40
  6. Step 6: Final answer
    x = 78.20

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Why These Related Problems?

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