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Finding the Fourth Proportional to 117.30, 176.13 and 74.07

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Solution

The fourth proportional to 117.30, 176.13 and 74.07 is: 111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 176.13 = 74.07 : x
  2. Step 2: Convert to fraction form
    117.30/176.13 = 74.07/x
  3. Step 3: Cross multiply
    117.30x = 176.13 × 74.07
  4. Step 4: Simplify right side
    117.30x = 13,045.95
  5. Step 5: Solve for x
    x = 13,045.95/117.30
  6. Step 6: Final answer
    x = 111.22

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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.