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Finding the Fourth Proportional to 114.61, 172.00 and 71.34

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Solution

The fourth proportional to 114.61, 172.00 and 71.34 is: 107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.61 : 172.00 = 71.34 : x
  2. Step 2: Convert to fraction form
    114.61/172.00 = 71.34/x
  3. Step 3: Cross multiply
    114.61x = 172.00 × 71.34
  4. Step 4: Simplify right side
    114.61x = 12,271.03
  5. Step 5: Solve for x
    x = 12,271.03/114.61
  6. Step 6: Final answer
    x = 107.07

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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.