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Finding the Fourth Proportional to 114.59, 172.00 and 74.04

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Solution

The fourth proportional to 114.59, 172.00 and 74.04 is: 111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 172.00 = 74.04 : x
  2. Step 2: Convert to fraction form
    114.59/172.00 = 74.04/x
  3. Step 3: Cross multiply
    114.59x = 172.00 × 74.04
  4. Step 4: Simplify right side
    114.59x = 12,734.60
  5. Step 5: Solve for x
    x = 12,734.60/114.59
  6. Step 6: Final answer
    x = 111.13

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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.