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Finding the Fourth Proportional to 35.04, 52.76 and 31.60

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Solution

The fourth proportional to 35.04, 52.76 and 31.60 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.04 : 52.76 = 31.60 : x
  2. Step 2: Convert to fraction form
    35.04/52.76 = 31.60/x
  3. Step 3: Cross multiply
    35.04x = 52.76 × 31.60
  4. Step 4: Simplify right side
    35.04x = 1,667.06
  5. Step 5: Solve for x
    x = 1,667.06/35.04
  6. Step 6: Final answer
    x = 47.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.