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Finding the Fourth Proportional to 114.51, 171.64 and 46.00

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Solution

The fourth proportional to 114.51, 171.64 and 46.00 is: 68.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.51 : 171.64 = 46.00 : x
  2. Step 2: Convert to fraction form
    114.51/171.64 = 46.00/x
  3. Step 3: Cross multiply
    114.51x = 171.64 × 46.00
  4. Step 4: Simplify right side
    114.51x = 7,894.90
  5. Step 5: Solve for x
    x = 7,894.90/114.51
  6. Step 6: Final answer
    x = 68.95

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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.