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Finding the Fourth Proportional to 95.71, 143.58 and 90.02

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Solution

The fourth proportional to 95.71, 143.58 and 90.02 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.71 : 143.58 = 90.02 : x
  2. Step 2: Convert to fraction form
    95.71/143.58 = 90.02/x
  3. Step 3: Cross multiply
    95.71x = 143.58 × 90.02
  4. Step 4: Simplify right side
    95.71x = 12,925.07
  5. Step 5: Solve for x
    x = 12,925.07/95.71
  6. Step 6: Final answer
    x = 135.04

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