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Finding the Fourth Proportional to 147.05, 220.64 and 70.02

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Solution

The fourth proportional to 147.05, 220.64 and 70.02 is: 105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.05 : 220.64 = 70.02 : x
  2. Step 2: Convert to fraction form
    147.05/220.64 = 70.02/x
  3. Step 3: Cross multiply
    147.05x = 220.64 × 70.02
  4. Step 4: Simplify right side
    147.05x = 15,448.28
  5. Step 5: Solve for x
    x = 15,448.28/147.05
  6. Step 6: Final answer
    x = 105.05

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Why These Related Problems?

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