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Finding the Fourth Proportional to 114.53, 171.69 and 78.47

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Solution

The fourth proportional to 114.53, 171.69 and 78.47 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.53 : 171.69 = 78.47 : x
  2. Step 2: Convert to fraction form
    114.53/171.69 = 78.47/x
  3. Step 3: Cross multiply
    114.53x = 171.69 × 78.47
  4. Step 4: Simplify right side
    114.53x = 13,472.51
  5. Step 5: Solve for x
    x = 13,472.51/114.53
  6. Step 6: Final answer
    x = 117.63

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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.