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Finding the Fourth Proportional to 114.04, 171.06 and 37.00

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Solution

The fourth proportional to 114.04, 171.06 and 37.00 is: 55.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.04 : 171.06 = 37.00 : x
  2. Step 2: Convert to fraction form
    114.04/171.06 = 37.00/x
  3. Step 3: Cross multiply
    114.04x = 171.06 × 37.00
  4. Step 4: Simplify right side
    114.04x = 6,329.30
  5. Step 5: Solve for x
    x = 6,329.30/114.04
  6. Step 6: Final answer
    x = 55.50

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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.