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Finding the Fourth Proportional to 114.62, 172.06 and 78.06

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Solution

The fourth proportional to 114.62, 172.06 and 78.06 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 172.06 = 78.06 : x
  2. Step 2: Convert to fraction form
    114.62/172.06 = 78.06/x
  3. Step 3: Cross multiply
    114.62x = 172.06 × 78.06
  4. Step 4: Simplify right side
    114.62x = 13,431.00
  5. Step 5: Solve for x
    x = 13,431.00/114.62
  6. Step 6: Final answer
    x = 117.18

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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.