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Finding the Fourth Proportional to 134.02, 184.93 and 75.00

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Solution

The fourth proportional to 134.02, 184.93 and 75.00 is: 103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.02 : 184.93 = 75.00 : x
  2. Step 2: Convert to fraction form
    134.02/184.93 = 75.00/x
  3. Step 3: Cross multiply
    134.02x = 184.93 × 75.00
  4. Step 4: Simplify right side
    134.02x = 13,870.68
  5. Step 5: Solve for x
    x = 13,870.68/134.02
  6. Step 6: Final answer
    x = 103.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.