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Finding the Fourth Proportional to 105.55, 145.57 and 70.58

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Solution

The fourth proportional to 105.55, 145.57 and 70.58 is: 97.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.55 : 145.57 = 70.58 : x
  2. Step 2: Convert to fraction form
    105.55/145.57 = 70.58/x
  3. Step 3: Cross multiply
    105.55x = 145.57 × 70.58
  4. Step 4: Simplify right side
    105.55x = 10,274.33
  5. Step 5: Solve for x
    x = 10,274.33/105.55
  6. Step 6: Final answer
    x = 97.34

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Why These Related Problems?

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