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Finding the Fourth Proportional to 114.93, 172.35 and 74.25

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Solution

The fourth proportional to 114.93, 172.35 and 74.25 is: 111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.93 : 172.35 = 74.25 : x
  2. Step 2: Convert to fraction form
    114.93/172.35 = 74.25/x
  3. Step 3: Cross multiply
    114.93x = 172.35 × 74.25
  4. Step 4: Simplify right side
    114.93x = 12,796.99
  5. Step 5: Solve for x
    x = 12,796.99/114.93
  6. Step 6: Final answer
    x = 111.35

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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.