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Finding the Fourth Proportional to 152.14, 228.16 and 75.06

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Solution

The fourth proportional to 152.14, 228.16 and 75.06 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 228.16 = 75.06 : x
  2. Step 2: Convert to fraction form
    152.14/228.16 = 75.06/x
  3. Step 3: Cross multiply
    152.14x = 228.16 × 75.06
  4. Step 4: Simplify right side
    152.14x = 17,125.69
  5. Step 5: Solve for x
    x = 17,125.69/152.14
  6. Step 6: Final answer
    x = 112.57

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