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Finding the Fourth Proportional to 147.04, 202.94 and 110.14

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Solution

The fourth proportional to 147.04, 202.94 and 110.14 is: 152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.04 : 202.94 = 110.14 : x
  2. Step 2: Convert to fraction form
    147.04/202.94 = 110.14/x
  3. Step 3: Cross multiply
    147.04x = 202.94 × 110.14
  4. Step 4: Simplify right side
    147.04x = 22,351.81
  5. Step 5: Solve for x
    x = 22,351.81/147.04
  6. Step 6: Final answer
    x = 152.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.