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Finding the Fourth Proportional to 114.16, 171.33 and 60.08

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Solution

The fourth proportional to 114.16, 171.33 and 60.08 is: 90.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.16 : 171.33 = 60.08 : x
  2. Step 2: Convert to fraction form
    114.16/171.33 = 60.08/x
  3. Step 3: Cross multiply
    114.16x = 171.33 × 60.08
  4. Step 4: Simplify right side
    114.16x = 10,293.51
  5. Step 5: Solve for x
    x = 10,293.51/114.16
  6. Step 6: Final answer
    x = 90.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.