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Finding the Fourth Proportional to 114.48, 171.62 and 78.36

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Solution

The fourth proportional to 114.48, 171.62 and 78.36 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.48 : 171.62 = 78.36 : x
  2. Step 2: Convert to fraction form
    114.48/171.62 = 78.36/x
  3. Step 3: Cross multiply
    114.48x = 171.62 × 78.36
  4. Step 4: Simplify right side
    114.48x = 13,448.14
  5. Step 5: Solve for x
    x = 13,448.14/114.48
  6. Step 6: Final answer
    x = 117.47

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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.