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Finding the Fourth Proportional to 95.58, 142.35 and 95.10

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Solution

The fourth proportional to 95.58, 142.35 and 95.10 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.58 : 142.35 = 95.10 : x
  2. Step 2: Convert to fraction form
    95.58/142.35 = 95.10/x
  3. Step 3: Cross multiply
    95.58x = 142.35 × 95.10
  4. Step 4: Simplify right side
    95.58x = 13,537.49
  5. Step 5: Solve for x
    x = 13,537.49/95.58
  6. Step 6: Final answer
    x = 141.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.