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Finding the Fourth Proportional to 114.95, 172.56 and 106.45

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Solution

The fourth proportional to 114.95, 172.56 and 106.45 is: 159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.95 : 172.56 = 106.45 : x
  2. Step 2: Convert to fraction form
    114.95/172.56 = 106.45/x
  3. Step 3: Cross multiply
    114.95x = 172.56 × 106.45
  4. Step 4: Simplify right side
    114.95x = 18,368.15
  5. Step 5: Solve for x
    x = 18,368.15/114.95
  6. Step 6: Final answer
    x = 159.79

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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.