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Finding the Fourth Proportional to 152.13, 209.85 and 96.77

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Solution

The fourth proportional to 152.13, 209.85 and 96.77 is: 133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.13 : 209.85 = 96.77 : x
  2. Step 2: Convert to fraction form
    152.13/209.85 = 96.77/x
  3. Step 3: Cross multiply
    152.13x = 209.85 × 96.77
  4. Step 4: Simplify right side
    152.13x = 20,307.18
  5. Step 5: Solve for x
    x = 20,307.18/152.13
  6. Step 6: Final answer
    x = 133.49

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